Question

he demand for walnut pastries at Joanne's Bakery on Saturday mornings is N(30, 8). Joanne currently makes 36 walnut pastries for Saturday mornings. If four Saturday mornings are randomly selected, what is the probability that Joanne will have run out of walnut pastries on every one of the Satu

Answer 1

0.22663

Explanation:

Given that:

N(30, 8)

Normal distribution :

Mean(m) = 30

Standard deviation (s) = 8

X = 36

To run out of pastries then demand is greater than 36

Zscore = (X - m) / s

Zscore = (36 - 30) / 8

Zscore = 0.75

P(Z > 0.75) = 1 - P(Z < 0.75)

P(Z < 0.75) = 0.77337

P(Z > 0.75) = 1 - 0.77337

= 0.22663