With explanations if possible 1 Find the expected value of a

With explanations if possible!

1. Find the expected value of a random variable having the following probability distribution 4 P(X-x)0.3500.1500.2750.1250.100 a. 2.905 b. 3.475 c. 3.633 d. 3.205 e. 2.908 2. Find the expected value of a random variable having the following probability distribution P(X-x)0.140.160.160.220.120.10 a. 0.760 b. 0.473 c. 0.535 d. 0.445 e. 0.860

Solution

1. E(X) = 2×P(X = 2) + 3×P(X = 3) + 4×P(X=4) + 5×P(X=5) + 6×P(X=6)

       = 2 x 0.350 + 3 x 0.150 + 4 x 0.275 + 5 x 0.125 + 6 x 0.100

       =3.475

option (b)