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Let x be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of x are 1, 2, 3, 4, 5, and 6. The mean of x is 7/2 and the variance of x is 35/12. Let y be the random variable whose value is the difference (first minus second) between the number of dots that appear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of y ?.

Respuesta :

Standard deviation is used to measure the depth of a dataset relative to its mean and is taken by the square root of its variance.

The correct option is c.

The mean of X is 7 and the variance is 35.

                           2                                 12

Let Y be a random variable.

X and Y are binomials.

E(X-Y) = E (X) - E(Y)

Write the formula for the variance of X and Y.

Var(X-Y) = Var (X) - Var (Y)

where x and y are independent covers (x,y) is 0.

now,

Var(X-Y) = 35 + 35

                12    12

Because the standard deviation is the square root of the variance.

S.D = √((35/12) +(35/12))

So the correct option is c.

your question is incomplete but most probably the full question is

Let X be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of X are 1, 2, 3, 4, 5, and 6. The mean of X is 7/2 and the variance of X is 35/12. Let Y be the random variable whose value is the difference (first minus second) between the number of dots that appear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of Y

a. √(35/12)

b. √(35/12) + √(35/12)

c. √{(35/12) + (35/12)}

d. √(35/12) - √(35/12)

Learn more about standard deviation here.

Brainly.com/question/23907081

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