Question

At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E

Answer 1

Using statistical concepts, it is found that the standard deviation of the probability distribution is of

$s = 1.5(1.9) = 2.85$

When a constant is multiplied to each data in a variable, both the mean and the standard deviation are multiplied by the constant.

In this problem, the standard deviation, which is the square root of the variance, is of:

$\sigma = \sqrt{\sigma^2} = \sqrt{3.6} = 1.9$

The price of each is of $1.5, hence:

$s = 1.5(1.9) = 2.85$

A similar problem is given at brainly.com/question/25718546