Question

Ice Cream Flavors in a Store: A survey shows that the number of ice cream flavors offered in ice

cream stores follows a normal distribution with a mean of 18 flavors and a standard deviation of 4 flavors. If you visit a store with 26 flavors, what is the z-score of this store's flavor count? What is the probability of visiting a store with 26 or more flavors?

Answer 1

The z-score of the store is 2, and the probability of visiting a store with 26 or more flavors is 2.28%.

Step-by-step explanation:

The z-score measures how many standard deviations a particular value is from the mean of a distribution. To find the z-score of a store with 26 flavors in this case, we can use the formula:

z = (x - mean) / standard deviation

Substituting the given values, we get:

z = (26 - 18) / 4 = 2

The z-score of this store's flavor count is 2.

To find the probability of visiting a store with 26 or more flavors, we can use the z-score and the standard normal distribution table. The probability associated with a z-score of 2 or higher is approximately 0.0228, or 2.28%.