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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

Respuesta :

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

fichoh

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

  • Expected value = 2.6
  • Variance = 3.6
  • Price per doughnut = $1.50

The price for the variance of the distribution can be written as :

  • Price per doughnut × Variance

  • Variance = $1.50 × 3.6

The standard deviation of the distribution D is related to the variance by the formular :

  • Standard deviation = √variance

  • Standard deviation = √(1.50 × 3.6)

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

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