Refer to part

(c) of Exercise 5.104. Calculate the mean and standard deviation of X.

5.106 Let the random variable Y denote the proportion of times a head occurs in three tosses of a coin, that is, (No. of heads in 3 tosses ) / 3.

(a) Obtain the probability distribution Y.

(b) Draw the probability histogram.

(c) Calculate the E (Y ) and sd (Y ).