For Exercise 4.109, see page 220; for 4.110, see page 223; for 4.111 to 4.114, see page 228; for 4.115, see page 230; and for 4.116 to 4.118, see page 235.

Question 4.109

4.109 Find the mean of the probability distribution.

You toss a fair coin. If the outcome is heads, you win $5.00; if the outcome is tails, you win nothing. Let be the amount that you win in a single toss of a coin. Find the probability distribution of this random variable and its mean.

4.109

The possible values of are $0 and $5, each with probability 0.5. The mean is $2.50.