Question

According to a market research, the spendings of mall shoppers are normally distributed with a mean of 148 dollars and a standard deviation of 15 dollars. Let X be the spending of a randomly selected shopper. 1. Describe the probability distribution of X and state its parameters μ and σ : X∼(μ=,σ=1

Answer 1

The probability distribution of X, the spending of mall shoppers, is a normal distribution with a mean of $148 and a standard deviation of $15.

Step-by-step explanation:

The spending of mall shoppers, as described in the market research, follows a normal distribution. The mean (or average) spending is $148 and the standard deviation is $15. Therefore, the probability distribution of X, which represents the spending of a randomly selected shopper, is a normal distribution with parameters μ (mean) = $148 and σ (standard deviation) = $15.