Question

A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of 31.8 pies and a standard deviation of 4.5 pies.
Find the demand that has an 8% probability of being exceeded. Use Excel, and round your answer to two decimal places.

Answer 1

The demand that has an 8% probability of being exceeded is 38.1230 .

What is probability?

Probability is the aspect of mathematics that focus on the occurrence of a random event.

This is calculated below:

The  normal random variable having the  mean is been given as :

(Mu = 31.8)

The standard deviation is been given as ( sd = 4.5)

Then in making our calculation, we will need to make use of the formular below:

$\\Z= (X - Mu) / sd = (X - 31.8) / 4.5$

But we know that going with the  probability of 0.08

where  k = 1.4051

P (Z > 1.4051)

k = 1.4051

we can have the expression for  k  as $[(X - 31.8) / 4.5]$

This can be simplified as:

X  = 4.5 (1.4051) + 31.8 = 38.1230.

Therefore, the  demand that has an 8% probability of being exceeded is 38.1230 .

Learn more about normal distribution on:

brainly.com/question/4079902

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