An unbiased coin is tossed four times

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

An unbiased coin is tossed four times. Let

Y

denote the number of heads obtained. (i) List all possible values taken by

Y

. (ii) Construct the probability distribution table of

Y

. (iii) Using the table, compute

P(Y\ge 3)

. (iv) Find the mean and variance of

Y