To examine the effectiveness of its four annual advertising promotions, a mail order company has sent a questionnaire to each of its customers, asking how many of the previous year's promotions prompted orders that would not have otherwise been made. The
accompanying table lists the probabilities that were derived from the questionnaire, where X is the random variable representing the
number of promotions that prompted orders. If we assume that overall customer behavior next year will be the same as last year, what
is the expected number of promotions that each customer will take advantage of next year by ordering goods that otherwise would not
be purchased?
X 0 1 2 3 4
P(X)0.10.246 0.3390.155 0.16
Expected value =