Question

Costumers in a department store are normally distributed with a mean age of 32.3 years and...

Costumers in a department store are normally distributed with a mean age of 32.3 years and a standard deviation of 9.7 years.

a) What is the probability that the next customer that enters the store will be in their twenties?

b) What is the probability that 2 of the next 3 customers will be in their twenties?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Let X denote the age of customers in a department store

We are given :

a)

Probability that the next customer that enters the store will be in their twenties =

We use Excel function "NORMSDIST()" as :

b)

Probability that 2 of the next 3 customers will be in their twenties =

= 3*Probability that the customer will be in their twenties*Probability that the customer will be in their twenties*Probability that the customer will not be in their twenties

= 3*0.264*0.264*(1-0.264)

= 0.154

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