Question: 7. Given the following sampling distribution: X 0 3 7 14 19 P(X) 2 25 1 100 3 50 1 25 ___ (i) What is

7. Given the following sampling distribution:

X

0

3

7

14

19

P(X)

225

1100

350

125

___

(i) What is the mean of this sampling distribution? (ii) What is the standard deviation of this sampling distribution?

a) (i) 16.40 (ii) 34.32

b) (i) 16.40 (ii) 5.86

c) (i) 8.60 (ii) 5.86

d) (i) 0.42 (ii) 34.32

e) (i) 0.42 (ii) 5.86

f) None of the above

8. Suppose you have a distribution, X, with mean = 29 and standard deviation = 6. Define a new random variable Y = 4X - 5. Find the mean and standard deviation of Y.

a) E[Y] = 111; Y = 19

b) E[Y] = 116; Y = 96

c) E[Y] = 111; Y = 96

d) E[Y] = 116; Y = 19

e) E[Y] = 111; Y = 24

f) None of the above

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