Q1 Given P(E^c) = 0.43, P(F) = 0.52, and P(EF) = 0.18. Find P( E | F^c).

a) 0.8125

b) 0.7500

c) 0.5342

d) 0.9069

e) 0.3461

f) None of the above.

Q2

The probability distribution of a random variable X is given below.

x	1	2	3	4	9
P(X =x)	1/8	1/3	1/24	5/24	7/24

Given the following meanFind the variance (Var(X)) and the standard deviation, respectively.

a) [63.20, 7.95]

b) [691.00, 26.29]

c) [40.48, 6.36]

d) [1742.76, 41.75]

e) [9.65, 3.11]

f) None of the above.