Answer to Question #203453 in Statistics and Probability for Aleena

Question

Consider the following discrete probability

distribution:

P(x)

3 0.13

6 9 0.12 0.15

12 0.60

a. Calculate the variance and standard deviation of the

random variable. b. Let y=x+7. Calculate the variance and standard

deviation of the random variable y. c. Let z = 7x. Calculate the variance and standard

deviation of the random variable z. d. From your calculations in part a and part b,

indicate the effect that adding a constant to a random variable has on its variance and standard deviation..

e. From your calculations in part a and part c, indicate the effect that multiplying a random variable with a constant has on the variance and the standard deviation of the random variable.

Answer 1

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