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QUESTION 5 The table below gives the distribution of the number of projects Z approved per year. The listing in this table is collectively exhaustive

QUESTION 5

The table below gives the distribution of the number of projects Z approved per year. The listing in this table is collectively exhaustive because all the possible outcomes are included, thus, the probabilities sum to 1.

Projects per year (Z)

P(Z)

1

0.15

2

0.06

3

0.10

4

0.04

5

0.20

6

0.25

7

0.10

8

0.10

The expected value, the variance and standard deviation of Z are:

A.

E(Z)=4.73 , = 3.29774, and =1.81596

B.

E(Z)=4.73 , = 3.00943, and =1.73477

C.

E(Z)=4.73 , = 3.64944, and =1.91035

D.

E(Z)=4.73 , = 3.57900, and =1.89182

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