Explain the probability value using normal distribution.
The despicable amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Presume the distribution of amounts purchased follows the normal distribution. For a example of 50 customers answer the following questions.
1) What is the likelihood the sample mean is at least $25.00?
2) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
3) Within what limits will 90 percent of the sample means occur?