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In: Statistics and Probability

The probability function of a random variable Y is given as follows. ?(? = ?) =...

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

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