Question

A balanced coin is tossed three times. Let Y equal the number of heads observed. (a) Use the formula for the binomial probability distribution to calculate the probabilities associated with Y = 0, 1, 2, and 3. PCY = 0) = P(Y = 1) = PLY = 2) = P(Y = 3) = (b) Construct the probability distribution below. ply) (c) Find the expected value and standard deviation of y, using the formulas E(Y) = np and V(Y) = npq. (Round your answers to three decimal places.) u =

Answer 1

Y be the number of heads (a) P(Y 0)= 3 P (Y =1) P(Y 2) P(Y 3) (b) У Р(у) 1 4 1 7 2 8 3 (c) E(Y) np V(Y) npq p be the probabiity of occuring hea 1 2 1 3 E(Y)= np 3x-= 2 2 3 1 1 V(Ynpq 3xx. 2 2 4 и CN