Question

Average sales for an online textbook distributor were $67.63 per customer per purchase. Assume the sales are normally distributed. If the standard deviation of the amount spent on textbooks is $8.96, find these probabilities for a randomly selected customer of the online textbook distributor. Round your answer to the nearest tenth of a percent. (a)He or she spent more than $85.55 per purchase. (b)He or she spent less than $76.59 per purchase

Answer 1

Answer:

(a)P(x>85.55)=0.02275

(b)$P(x$

Step-by-step explanation:

We are given that

Average sales for an online textbook distributor  per customer per purchase

,$\mu=$$67.63

Standard deviation of the amount spent on textbooks,$\sigma=$$8.96

(a) We have to find probability for a randomly selected customer spent more than $85.55 per purchase.

$P(x>85.55)=P(\frac{x-\mu}{\sigma}>\frac{85.55-67.63}{8.96})$

=$P(Z>2)$

=$1-P(Z\leq 2)$

=$1-0.97725$

P(x>85.55)=0.02275

(b)We have to find probability for a randomly selected customer spent less than $76.59 per purchase

$P(x$

$P(x$

$P(x$