# Statistics - Probability

1) A record store owner wants to determine consumer tastes. She decides to observe customers in her store on a particular day and record the number of minutes the each spends in the Alternative Music and Rap sections of the store. She came up with the following data:

Alternative Music Rap

Mean = x = 25 Mean = 20

Standard Dev = 3 Standard Dev = 2

a) What is the probability that a customer spends between 25 and 35 minutes in the Alternative Music section?

b) What is the probability that a customer spends between 20 and 25 minutes in the Rap section?

2) The same store owner above wanted to better understand her profits. She observed that her profits over the last few years are normally distributed with a mean of $100,000 and a standard deviation of $10,000.

(a) What is the probability that her store will make more than $125,000 this year?

(b) What is the probability that she makes more than $95,000 this year?

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:36 am ad1c9bdddfhttps://brainmass.com/statistics/probability/statistics-probability-consumer-tastes-8854

#### Solution Preview

Please see the attached document.

1) A record store owner wants to determine consumer tastes. She decides to observe customers in her store on a particular day and record the number of minutes the each spends in the Alternative Music and Rap sections of the store. She came up with the following data:

Alternative Music Rap

Mean = x = 25 Mean = 20

Standard Dev = 3 Standard Dev = 2

a) What is the probability that a customer spends between 25 and 35 minutes in the Alternative Music section?

Solution. Assume that it follows the normal distribution. Let TM be the time a customer spends in the Alternative Music ...

#### Solution Summary

The probability consumer tastes are examined in statistics. The solution answers the question(s) below.