Solved: According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The American Statistician, Vol. 53, No. 4, pp. 298-302, the birth weights of babies are normally distributed with a mean of 3388 grams and a standard deviation of 595 grams. 1.What is the probability that a randomly selected baby weighs between 3000 grams and 3500 grams? Round your answer to 4 decimal places. 2.What is the probability that the average weight of 24 randomly selected

In a certain country, the true probability of baby being a girl is 0.45. Among the next seven randomly selected births in this country, what is the probability that at least one of them is a boy? Would it be a significant event if…

A machinist is making engine parts with axle diameters of 0.700 inch. A random sample of 10 parts shows a mean diameter of 0.742 inch with a S.D. of 0.040 inch. Compute the statistic you would use to test whether the work is meeting t…

A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?

Daniel went to the perya and played a game. The rule says that the outcome of the game is a random variable from 1 to 14 and that if the outcome is even, he wins ₱50. If the outcome is odd, he wins nothing. Assuming that playing i…

X 3 6 9 12 15 P(X) 4/9 2/9 1/9 1/9 1/9

Two balls are pick in succession without replacement, 4 white balls and 5 green balls. let Y be the random variable representing tge gree balls. Find the values of a random variable Y. Complete the table gelow.

If you believe that your brand of refrigerator last longer than the mean of 14 years...

suppose that you are searching for a room for rental at makweng until you find a place that will satisfies your needs. Suppose that the probability of finding the right place is 0.4. what is the probability that you do not choose at l…

If X follows a normal distribution with u = 30 and o = 4, what is P(X <27)?

A psychologist feels that playing soft music during a test will change the results of the test...

Monthly food expenditures for families in Rodriguez Rizal averaged Php6,500 w a standard deviation of Php750. Assuming that the monthly food expenditures are normally distributed. What percentages of these expenditures are betwe…

a pair of fair dice is rolled. let x the random variable is representing the sum of the numbers that appear

construct the probability distribution of X for a pair of dice

The number of calories in a certain dessert is normally distributed with a mean of 210 and a standard deviation of 12. Find the probability that the dessert one select will contain between 185 and 216.

The score of Entrance Examination takers who took a 600 item exam resemble a normal distribution with a mean of 220 and a standard deviation of 10. The coordinator would like to get the lowest 15% of the scores and invite them f…

The absolute value of the difference of the squares of numbers that turn up when a pair of fair dice is rolled.

The number of females employees selected if five employees are selected by lottery from a group of six male and six female employees.

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 2…

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 200 pro…

The school registrar estimates that the dropout rate of freshmen high schools in Mindanao is 20%. Last year, 45 freshmen from a random sample of 250 Mindanao freshmen high school withdrew. At 𝛼 = 0.01, is there enough ev…

A survey of Davao Region finds the average commute time of employees on one way is 30 minutes. The Digos Chamber of Commerce feels that in their city is greater and want to publicize this. They randomly select 28 commuters and f…

Let X be a random variable with the following probability distribution: x 1 2 3 4 P(X) 0.4 0.3 0.2 0.1 Find the expected value and variance.

The school registrar estimates that the dropout rate of freshmen high schools in Mindanao is 20%. Last year, 45 freshmen from a random sample of 250 Mindanao freshmen high school withdrew. At 𝛼 = 0.01, is there enough evidence t…

The professional organization for private colleges and universities professors reported that more than 17% of professors attended a national convention in the past year. To test this claim, a researcher surveyed 200 professor…

Let X be the number of life years before certain kind of CFL bulb needs replacement. Let X have the probability mass function (pmf) is defined as f(x) = ax° r = 0,1,2,3,4 where a is some real constant. (a) Find the value of consta…

Let X be the number of life years before certain kind of CFL bulb needs replacement . Let X have the probability mass function is defined as f(x)=alphax**3,x=0,1,2,3,4 Where alpha is constant (a) Find the values of constant alpha …

Tom has a 0.5 chance of winning the Booker Prize, whereas John has a 0.4 chance of winning the Booker Prize. Only one Booker prize is up for grabs. How likely is it that at least one of them will win the prize?

If a binomial distribution has 10 trials and the probability of success is 0.4, then the mean is

It has been discovered that 5% of drivers stopped at a traffic stop had traces of alcohol on their person, and 10% of those stopped do not use seat belts. Furthermore, it has been discovered that the two offenses are unrelated to one …

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…

1. A random sample of n = 100 measurements is obtained from a population with 𝜇 = 55 and 𝜎 = 20. Describe the sampling distribution for the sample means by computing the 𝜇𝑥̅ and 𝜎𝑥̅.

Direction: Solve the problem below and construct probability distribution and make a histogram. Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Thus, to each out…

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

Given the probability distribution of a discrete random variable X below, what is P(X≥8)?

Five balls are drawn in succession without replacement from an urn containing 5 orange balls and 6 violet balls.Let V be the random variable representing the number of violet balls. Find the values of the random variable V

A baskets contains 12 red balls and 5 white balls.If four balls are taken from the basket one after the other,determine the possible values of the random variable R representing the number of red balls

A population consists of the four numbers 1,2,4 and 5 .list all the possible samples of size n=3 which can be drawn with repalcement from the population.find the following: A .population mean b. Population variance c.population stand…

Construct a probability distribution for the data and draw a histogram for the following: The probabilities that a patient will have 0,1 ,2 , or 3 medical tests performed on entering a hospital are 6/15, 5/15, 3/15, and 1…

Three different fertilizers were applied to twenty plots and the yields were recorded as follows. A 21 4 30 25 14 Obtain the ANOVA table for the above data.

A box contains 12 similary shaped colored balls let the random variable X represents the number on the ball (numbered from 1-12) and a ball is drawn from a box What is the probobility distrubution of X.What mean and varian of X?

given the population of 5000 scores with mean = 86 and standard deviation = 10. How many score is Below 56%

Situation: You volunteered to be part of the medical mission in your barangay and in-charge to get weight of the children. The weights of children have an average of kilograms and a standard deviation of kilograms. a. How man…

In an achievement test, the mean score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who got a score of 85 and above?

Number of times both cards are faced?

Number of times both cards are faced card

Number of times the cards have the same value

What is the square rot of 17

1. Suppose we know that 70% of all Canadians have or had a pet in their household. A researcher takes a simple random sample of 20 Canadians. What is the probability that at least 9 people in the sample have never had a pet in the…

4. The factory makes rulers (like the one in the picture above). Because they use older machinery, there is variability in marking on the ruler – the mean length (distance between 0 and 30 marks) is 30 cm, but it’s normally distribute…

Assume a significance level of a = 0.1 and use the given information to complete parts A and B below. original claim: The mean pulse rate and beats per minute of the certain group of adult males 72 bpm. The hypothesis test results in…

Researcher is using data for a sample of 10 observations to estimate the relation between consumption expenditure and income. Preliminary analysis of the sample data produces the following data. ∑xy = 700 , 1000 2 ∑x = , ∑X = 1…

The average monthly salary of 525 public school teachers in a municipality is P18925. 150 public school teachers were interviewed and found out they are receiving an average monthly salary of P17000. Identify the following: 1. Popula…

A box contains 5 balls. One is numbered 1, three are numbered 2, and one is numbered 3. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is rep…

The manufacturer of the Horizon truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distr…

A labor union claims “40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available” 74 persons out of the 200 sampled said they would return to work. Can we conclud…

There are two octahedral dice with faces marked 1 through 8. They are constructed such that the side 8 is 1.5 times as probable as the 2 through 7 and the sum of the probabilities of the 1 and the 8 equals that of the pairs on opposin…

Suppose two dice was rolled. Let Y be the random variable representing the number of even number that occur. Find the values of the random variable Y.

1. For each of the following scenarios, give an example of a discrete and a continuous random variable. The first one is done as an example. Scenarios •Asking your classmates about their breakfast. •Making an order at a fast foo…

Among 250 employees, of the local office of an international insurance company, 182 are whites, 51 are blacks and the rest are Orientals. If 5% margin of error is used, 5. How many employees will be chosen for a case study as sample…

A population is normally distributed with a population mean of 76 and a population standard deviation of 13. i. State the distribution of the sample mean for simple random samples of size n = 100. ii. Given a simple random sample …

Given a standard normal distribution with mean =78 and standard deviation = 28, find P(85 < X < 102)

Given a standard normal distribution with mean =118 and standard deviation = 29, find P(76 < X < 144)

Given a standard normal distribution with mean =136 and standard deviation = 39, find P(X>84)

Given a standard normal distribution with mean =62 and standard deviation = 44, find P(X>92)

Given a standard normal distribution with mean =58 and standard deviation = 40, find P(X<96)

Given a standard normal distribution with mean =60 and standard deviation = 35, find P(X<75)

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 814 hours and a standard deviation of 42 hours. Find the probability that a bulb burns between 747 and 846 hours.

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 799 hours and a standard deviation of 49 hours. Find the probability that a bulb burns between 769 and 878 hours.

The weights of 1,000 children, in average, is 50kg with standard deviation of 14kg. Suppose the weights are normally distributed, how many children weigh between 53kg and 68kg?

The weights of 1,000 children, in average, is 46kg with standard deviation of 20kg. Suppose the weights are normally distributed, how many children weigh less than 63kg?

The weights of 1,000 children, in average, is 55kg with standard deviation of 17kg. Suppose the weights are normally distributed, how many children weigh greater than 38kg?

A random sample of size 144 is drawn from a population whose distribution, mean, and standard deviation are all unknown. The summary statistics are x−−=58.2 and s = 2.6.

A box contains 5 balls. One is numbered 1, three are numbered 2, and one is numbered 3. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is rep…

•Box A and B contains 1, 2, 3, 4. Construct the probability distribution and draw a histogram of the sum when one number from each box is taken with placement

How many ways 6 delegates to the convention from a group of 24 qualified students

In how many ways can a teacher select 6 delegates to a national convention from a group of 24 students

The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a …

suppose the weight of 800 students are normally distributed with mean 75kg and standard deviation 5kg. find the numer of students that weigh more than 80kg

Suppose that the bank customers arrive randomly and independently on an average of 3.2 customers every 4 minutes. What is the probability that: a. Exactly two customers arrive in every 4 minutes? b. Exactly two customers will arriv…

Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams. Assuming a normal distribution, what is the probability of choosing an orange with a mass between 170 grams and 250 grams

To compare the results of boys and girls in a class, a special test was given to 50 boys who averaged 67.4 with Sd. of 5.0, and 50 girls averaged 62.8 with Sd. of 4.6. (Group Assignment) (2 pts.) a) Test, at …

To compare the results of boys and girls in a class, a special test was given to 50 boys who averaged 67.4 with Sd. of 5.0, and 50 girls averaged 62.8 with Sd. of 4.6. (Group Assignment) (2 pts.) a) Test, at   0.05 …

Let X be a binomial(5, 0.2) random variable. Let Y be a discrete random variable that is independent of X, such that Y = 1 with probability 0.2 and Y = 0 with probability 0.8. What is the probability that the sum of X and Y is less th…

1 4 4 2 3 4 5 1 4 1 Work out the mode

Regression of yi = ꞵ0 + ꞵ1 xi1 + ꞵ2 xi2 + ꞵ3 xi3 + ꞵ4 xi4 + ui yields the following results in tabular form. The tabulated t- statistics is 2.6 , 1.96 and 1.64 for one , five and ten percent significance levels respectively. State the…

a) Consider the following functional relation, f, defined as: f : R \rightarrow R, f(x) = x2 Determine whether or not f is a bijection. If it is, prove it. If it is not, show why it is not. b) Consider the set F = {y | y = a…

A recent survey found that 54.7% of the population own their homes. In a random sample of 150 heads of households, 92 responded that they owned their homes. At 0.01 level of significance does that indicate a difference from the nation…

A report stated that the average age of commercial jets in country X is 14 years. An executive of a large airline company selects a sample of 36 planes and finds that the average age of the plane is 11.8 years. The standard deviation …

The odds of Matthew doing his math homework is 13:7. What is the probability of Matthew doing his homework once in the next two days?

let x be a random variable with probability density function given by f(x)=(2he^-1/4x ; 0

FIND THE VALUES FOR EACH OF THE FF. CASES: A. UPPER TAIL AREA OF 0.025 WITH DEGREE OF FREEDOM=28 B. LOWER TAIL AREA OF 0.01WITH DEGREE OF FREEDOM=15 C. WHERE 90% OF THE AREA FALLS BETWEEN THESE TWO t-VALUES WITH df=9

2. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each …

A box contains 18 light bulbs. Of these, four are defective. Five bulbs are chosen at random. What is the probability that four are defectives?

what happens to the variance of the sampling distribution of the sample means when the sample size increases

The following represent the scores of a group of students on two tests. calculate spearman rs and kendall's tau for these data. Test 1 - 36, 34, 33, 29, 29, 28, 28, 28, 24, 22, 19, 12 Test 2 - 18, 26, 24, 18, 15, 12, 14, 13, 12, 10,…

The following represent the scores of a group of students on two tests. calculate spearman rs and kendall's tau for these data. Test 1 - 36, 34, 33, 29, 29, 28, 28, 28, 24, 22, 19, 12 and Test 2 - 18, 26, 24, 18, 15, 12, 14, 13, 12, 1…

Three judges rated eight essays with the following results. Calculate the coefficient of concordance with these data. JUDGE ESSAY 1 2 3 1 8 7 8 2 6 5 6 3 4 6 5 4 1 2 1 5 3 3 2 6 2 1 3 7 5 4 4 8 7 8 7

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