In: Statistics and Probability
The probability function of a random variable Y is given as follows. ?(? = ?) = { 0.20, ? = 48 // 0.45, ? = 15 /// 0.14, ? = 32 // 0.05, ? = 43 /// 0.16, ? = 54 /// 0, ?. ?.
a) Find the range of the random variable Y.
b) Find the expected value and standard deviation of Y.
c) Let ? = ? 10 + 2.70,
Find the expected value and variance of X