Question

(D Consider asa ohetical hiased colss are tosed. The probability table of "y showing its posible valuos and their probabilities is given beo a discrete randoes variable "Y" that represents the nomber of heads when t Cakulate the expected number of heads, eELY (b) 0.33 (o) 1.25 (d) 2 (2) Consider a discrete rardom variable·X' that can assume only three pos IfPX-0)-0.23 and P(X-I)-042. What is PAIX-2) ible values, X-a 1, 2. (a) 0.65 (b) 0.84 0.35 (d) 0.25 (3) A random variable 'X' has the followi ing uniform density function (PDF) 0 elsewhere What is the expectation value of X, i.e., E[X]? (a) 2.5 (b) 5 (c) 6

Answer 1

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1.

The expected number of heads is basically E(Y) or the probability weighed value of Y

So, E(Y) = 0*.3+1*.1+2*.6 = 1.3

Answer is a. 1.3