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 1.53.6âˆ’âˆ’âˆ’âˆš 1.53.6 B 1.5(3.6)âˆ’âˆ’âˆ’âˆ’âˆ’âˆ’âˆš 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6âˆ’âˆ’âˆ’âˆš 1.52.6 E

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joaobezerra joaobezerra · Answer 1 · 2021-12-07T11:24:19+01:00

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

[tex]s = 1.5(1.9) = 2.85[/tex]

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:

[tex]\sigma = \sqrt{\sigma^2} = \sqrt{3.6} = 1.9[/tex]

The price of each is of $1.5, hence:

[tex]s = 1.5(1.9) = 2.85[/tex]

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