The following data were obtained from a survey of college st

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x 0 1 2 3 4 5 P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10 Find P( X > 1) A.0.80 B.0.55 C.0.20 D.0.45

Please show work,

Solution

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x 0 1 2 3 4 5

P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10

What is the variance of X? A.2.34 B.3.42 C.4.32 D.2.50

X

P(X)

x*p(x)

(x-mean)²*p(x)

0

0.2

0

0.8

1

0.25

0.25

0.25

2

0.2

0.4

0

3

0.15

0.45

0.15

4

0.1

0.4

0.4

5

0.1

0.5

0.9

Total

1.000

2

2.5

Mean =2

Variance =2.5

Answer : D 2.5