A bakeshop owner determines the number of boxes of pandesal that are delivered each day. Find the mean of the probability distribution shown.

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The probability distribution is given as,

$x$ 35 36 37 38 39

$p(x)$ 0.10 0.20 0.30 0.30 0.10

The mean, $E(x)$ of this distribution can be determined using the formula,

$E(x)=\sum xp(x)=(35\times0.10)+(36\times0.20)+(37\times0.30)+(38\times0.30)+(39\times0.10)=37.1$

Therefore, the mean of the probability distribution is 37.1