Solved: A lottery that pays off P300 000 000 is made available for 10 000 000 tickets. Each ticket costs P50. Suppose the variable Z gives the net winnings from playing the lottery. What is the expected gain for joining the lottery with only one ticket?

A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.7 milligrams and a standard deviation of 1.5 milligrams. What is the standard error of the 99% confidence interval for the average nicotine conte…

A random sample of 14 cigarettes of a certain brand has an average nicotine content of 4.4 milligrams and a standard deviation of 1.9 milligrams. What is the margin of error of the 99% confidence interval for the average nicotine cont…

A pair of fair dice is rolled. Let X the random variable representing the sum of the numbers that appear.Find P(3 ≤X≤ 10)

A box contains 4 yellow (Y) and 8 Pink balls. Six balls will be selected in the box. Determine the values of random variable P representing the number of pink balls.

3. The mean salary of ten employees is Php 32,000, and the median is Php 30,000. The highest-paid employee gets a Php 5,000 raise. a. What is the new mean salary of the ten employees? b. What is the new medi…

Four coins are tossed.Let T be the random variable representing the number of tails that occur.find the values of the random variable T

A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.8 milligrams and a standard deviation of 2 milligrams. What is the upper bound of the 99% confidence interval for the average nicotine content of…

Which of the following sampling method would be least likely to produce accurate and representative samples? a. Cluster Sampling b. Simple Random Sampling c. Systematic Sampling d. Snowball Sampling

A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.9 milligrams and a standard deviation of 2.5 milligrams. What is the lower bound of the 99% confidence interval for the average nicotine content …

Give at least 5 reasons why samples are used instead of population when conducting a research.

QUESTION ONE The manufacturer of product Gero requires three distinct processes A-C. On completion the product was passed from process C to finished goods stock. The following information was obtained in respect of the product 5,000…

The probability that an American industry will locate in Shanghai China is 0.70, in Beijing is 0.40 and in either Shanghai or Beijing or both is 0.80. what is the probability that the industry will locate : a) in both cities, b) in ne…

Calculate the width of the class with boundaries 5 and 30.

What is the probability or 4 out of 5 hands (dealer plus 4 players) receiving a "blackjack" (an Ace plus any 10 value card) all at the same time assuming all 104 cards are in play? Thank you

Find the probability of the following. A. P(z < 2.45) B. P(1.2

According to Dietary Goals for the US (1977), high sodium intake may be related to ulcers, stomach cancer, and migraine headaches. The human requirement for salt is less than 220 milligrams per day, which is surpassed in most single s…

a box contains five ball. the balls are numbered 1,2,3,4 and 5. a person randomly draws to balls from the box. let X be the sum of the numbers kf the ball drawn. what is the sum of all probabilities, P(X=x)?

Two balls are drawn in succession without replacement from a box containing 4 yellow balls and 3 white balls. Let Z be the random variable representing the number of white balls. Find the values of the random variable Z.

On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 100 and a standard deviation of 8.06. What is the standard error of the 90% confidence interval of the average IQ …

Make a study about how many sheets of paper you consumed weekly in answering your Self Learning Modules. Record the quantity (total number of sheets)per subject, then construct a probability distribution. Compute the mean, variance, …

In a group of students, the number of males and females studying Spanish, French or Music are given in a table below Spanish French Music Males 23 12 26 Females 12 15 09 i) Find the probability that a randomly c…

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X.

On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 99 and a standard deviation of 6.25. What is the margin of error of the 90% confidence interval of the average IQ …

1. Suppose five cell phones are tested at random. Let D represent the defective cell phone and let N represent the non- defective cell phone. If we let X be the random variable for the number of defective c…

Classify the following random variables as discrete or continuous the amount of calorie burned by the pasig athletes

Given the data 6, 9, 12, 15, 16, 19, 22. Construct a sampling distribution of the sample mean without replacement and repetition by selecting 2 samples at a time.

On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 108 and a standard deviation of 7.07. What is the upper bound of the 90% confidence interval of the average IQ of …

A coke float machine dispenses into 18-ounce cups. Test show that the actual amount of ice cream dispensed is normally distributed with a mean of 12.75 oz. and a standard deviation of 0.27 oz. a. what percent of cups will recei…

A dog gave birth of six puppies. Three of them are male while the rest are female. If you are to be given three puppies at random, list all the elements of the sample space using the letters M and F for male puppies and female puppi…

suppose a population consists of the numbers 2,3,5,8 and 12 what is the mean of the population?

On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 108 and a standard deviation of 7.09. What is the lower bound of the 90% confidence interval of the average IQ of …

4. [6] The table below gives 210Pb activities in a marine sediment core. Depth, L(cm) 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 210Pb activity, AL(Bq kg-1) 247.0 199.0 160.0 123.0 101.0 78.0 62.0 46.0 38.0 Assume th…

the probabilities that a student gets 0, 1,2,3,4, or 5 mistakes are respectively. What is the average number of mistakes that a student makes in this class? What is expected value, variance and standard deviation of this discrete prob…

IN A SAMPLE OF OWLS IT IS FOUND THAT . There were 35 red males, 70 red females, 50 gray males, and 45 gray females IS THE COLOR INDEPENDANT OF SEX OF SAMPLE

A bag contains 3 black balls and 2 red balls,a ball is picked at random and replaced. what is the probability they are both black?

6. One of the following inferential analysis models is appropriate to test whether ‘There is a significant difference in students’ fear of SPSS before and after SPSS tutorial’. A. Independent samples t-test B. Paired samples…

Two coins are tossed and the random variable Z gives the number of heads. Find the range space, possible outcomes, and give the table of values.

the mean working hours of 400 college teachers was found to be 15.7 hours with standard deviation of 1.5 hours. test the hypothesis that the mean working hours is 16 hours against the hypothesis that it is greater than 16hrs at 1% lev…

the average hour spent using the computer by 20 senior high school students during online class is 7 hour with a standard deviation of 2 hours. construct a 98% confidence interval of average hour spent by all senior high school studen…

Solve the following problem: A government office has six telephone lines. For the past months, the probability distribution of the random variable Y which represents the number busy line per day in shown in the records below Y…

The number X of days in the summer months that a construction crew are cannot work because of the weather has the probability distribution X P(x) 6 0.03 7 0.08 8 0.15 9 0.20 10 0.19 11 0.16 12. 0.10 13 0.0…

7. An arithmetic test is given twice within a few days to a student. The highest possible score is 40. He receives a score of 35 the first time and a score of 18 the second time. If similarly varying results are obtained with other st…

In 2012 the Centers for Disease Control and Prevention reported that the rate of autism in children has risen to in 50. A study conducted in Norway suggests that the risk of autism may be significantly lower if women take folic acid s…

Suppose three test kits are tested at random. Let N be the random variable for the number of non - defective test kits, construct the probability distribution P(N). What can you conclude about the effectivity of the COVID-19 Rapid Ant…

Mrs. Paul wants to test that claim that, on average, her students' average mark is 85. She pulls the records of 100 per past student over a three-year period. The grades are inputted into MINITAB for analysis. Exhibit 1 below shows th…

a car salesperson as arrange a visit on three perspective customers in a week based on the past experiences helpers and laws that there is 10% chance of closing a sale on each visit determine the probability distribution of the number…

find the mean of the probability distribution of the random variable X and interpret its value, which can take only the values of 3,5, and 7, given that P (3) = ⁷/³⁰, P(5) = ⅓ and P(7) = ¹³/³⁰

Let the sample space be S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E="an even number less than 7."

The probability that a tutor will see 0, 1, 2, 3, or 4 students x 0 1 2 3 4 P(x) 4/27 1/27 5/9 ? 5/27 (a) What is the probability that the tutor sees 3 students? (b) What i…

The number X of days in the summer months that a construction crew are cannot work because of the weather has the probability distribution X P(x) 6 0.03 7 0.08 8 0.15 9 0.20 10 0.19 11 0.16 12…

Jac tossed an unbiased coin. If the coin lands with head up on each toss, he wins ₱50. However, if it lands with tail up, he loses ₱60. If he continues to play the game, how much can he expect to win or lose in the game?

You are in a carnival and you see a game. The rule says that the outcome in the game is a random variable from 1 to 14 and that if the outcome is even, you win ₱50. If the outcome is odd, you win nothing. If you play the game, what …

Question 2 The probability that a house in an urban area will be burglarized is 5%. A sample of 50 houses is randomly selected to determine the number of houses that were burglarized. P (pass) = 0.05 q (failure) = 0.95 n = 50 (a) …

A coin is tossed four times. b. Suppose the outcome of the first two tosses are heads, and Y represents the number of heads landed, what are the possible values of Y?

The equations of two Regressions lines are 7𝑥 − 16𝑦 + 9 = 0 and 5𝑦 − 4𝑥 − 3 = 0. Find the coefficient of correlation and the means of x and y

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur . Construct a table that shows the sample space and values of the random variable X

Question 3 A sales firm receives an average of three calls per hour on its toll-free number. Suppose you were asked to find the probability that it will receive at least three calls, in a given hour: (a) (i) which distribution does…

Zelazo et al. (1972) investigated the variability in age at first walking in infants. Study infants were grouped into four groups, according to reinforcement of walking and placement: (1) active (2) passive (3) no exercise; and …

find the range, standard deviation and range of 8 10 22 18 17 11 15 28 16 16

Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?

Find the mean of the probability distribution of the random variable X which can take only values 2,4,5, and 9, given that P(2)=9/20, P(4)=1/20, P(5)=⅕, P(9)=3/10

Three balls are drawn in succesion without replacement from a box of 2 red balls. Let R be the random variable representing the number of red balls. Find the values of the random variable R. Complete the table below

1. i. Compare Z distribution and Normal Distributions. ii. What are the properties of the t distribution? iii. Find the values for each. a. t 𝛼/2 and n = 15 for the 98% confidence interval for the mean b. t 𝛼/2 and n = 10 fo…

1. i. What happens to the margin of error when sample size increases? Does it increase, decrease, or stay the same? ii. How does this affect the size of the resulting confidence interval?

Ramdon sample of size 4 are drawn froem the finite population which consists of the number 2,3,7,8 and 10

1. Suppose we are interested in finding a 99% confidence interval for the mean overall score of students at a certain school. Five students are sampled, and their overall scores are 560, 500, 470, 660, and 640. a. What is th…

1. Suppose our p-value is .044. What will our conclusion be at alpha levels of .10, .05, and .01?

1. At a certain college, new students are weighed when they join the college, new students are weighed when they join the college. The distribution of weights of students at the college when they enroll has a standard deviation of 7.5…

Suppose Billy scored a 54 on his exam. The mean of the grade is 66 and the standard deviation is 3.what is the z score?

1. For a sample of 35 items from a population for which the standard deviation is σ= 20.5 , the sample mean is 458.0. At the 0.05 level of significance, test H0: μ= 450 versus H1: μ> 450 . Determine and interpret the p-value for the…

How many possible random samples of size 4 can be drawn from a population of size 8?

Four coins are tossed. Let A be the random variable representing the number of heads that occur. Find the values of the random variable A. Possible Outcomes Value of the Random Variable A (Number of Heads)

Six women and five men walk into an appliance store at the same time. There are five salesperson available to help them.Find the probability that a salesperson will first help at least 2 women.

The average weight of 25 chocolates bars selected from a normally distributed population is 200 g with a standard deviation of 10 g. Fight the point and the interval estimates using 95% confidence level.

Find the finite population correction factor given the following: 1. N=200, n=20 2. N=250, n=10 3. N=2000, n=15 4. N=2500, n=20 5. N=200, n=20

The level of significant and critical region a=,df=,and the t critical=

Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. * Captionless Image The possible values of the random variable Z are 1, 2, and 3. …

he Surf-excel company uses a machine to fill boxes with soap powder. Assume that the net weight of the boxes of soap is normally distributed with mean 15 ounces and standard deviation 0.8 ounces. 25% of the boxes will be heavier than …

Two cards are drawn from a deck. How many possible values can each of the following variables take? 1. sum of the numbers on the cards ___________ 2. number of times both cards are black ________ 3. Number of …

2. Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a.…

Let T be a random variable giving the number of heads plus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value.

Given the data 6, 9, 12, 15, 16, 19, 22. Construct a sampling distribution of the sample mean without replacement and repetition by selecting 2 samples at a time.

1. The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes. a. What is the probability that a battery lasts more…

1. Based from record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of 0.75 lbs. Out of 60 new born babies, find: a. The probability that the sample mean is less than 4.6 lbs b.The probability th…

1. Let X be random variable with values 4,5,6,7,8 and 9 a. Find the mean and the variance of the sample without replacement of n=2. b. Find a the sampling distribution of the mean and construct it's histogram 2. A…

A certain population has a mean of 15.4 and a standard deviation of 5.6. if random samples of size 5 is taken from this population, which of the following statements is true? * 1 point The standard deviation of the sampling distri…

A meeting of envoy was attended by 5 Koreans and 3 Filipinos. If four envoy were selected at random one after the other determine the values of the random variable K representing the number of Koreas.

1. Each main bearing cap in an engine contains 4 bolts. The bolts are selected at random without replacement from a parts bin that contains 30 bolts from one supplier and 70 bolts from another. a. b. What is the probability …

Observe yourself in a day. Find out how many hours you spend in the following activities: house chores, answering Self Learning Modules, planting/gardening, using social media like Facebook, messenger, tiktok, Instagram, and YouTube, …

Suppose the mean height of 200 students was 150 cm with a standard deviation of 12cm and mean weight was 60 kg with a standard deviation of 7kg

A firm employs 300 women and 100 men. The mean number of days absent last year for the women was 5.3 with a s.d. of 2.2 and for the men the corresponding figures were 6.2 and 2.9. Is the difference between the means significant at 5% …

How many possible samples of size n=8 can be drawn from a population of size 11

Permutation and Combination: In how many ways can 7 students be selected in a row of 7 seats if 2 of the students insist of sitting beside each other? In a gathering, the host make sure that each guest shakes hands with everyone else…

1. A coin is tossed twice. If the second throw results in tail a die is thrown. Describe the sample space for this experiment.

2. A random experiment has m outcomes a1,a2....,am and another has out out comes b1,b2.......,bn. Describe the sample space when both the experiment carried out.

3. A box contains 4 bad and 6 good tubes. Two are drawn out from the box at a time. One is tested and found to be good. What is the probability that the other one is also good?

How large a sample should be taken to be 95% sure that the error of estimation does not exceed 0.2 unit when standard deviation is 5?

How many people are likely to have a birthday that reads palindromically within their lifetime? (i.e.22/02/2022)

A laboratory supervisor in hospital is investigating number of reported on-the-job training accidents over a period of one month. Based on past records, she has derived the following probability distribution for x; where x is the numb…

A lottery that pays off P300 000 000 is made available for 10 000 000 tickets. Each ticket costs P50. Suppose the variable Z gives the net winnings from playing the lottery. What is the expected gain for joining the lottery with only one ticket?

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