Environmental engineers classify consumers into one of five categories (see Exercise 3.77, (p. 127), for a description of each group). The probabilities associated with the groups follow:

Let Y equal the number of consumers that must be sampled until the first environmentalist is found. (Note: From Exercise 3.3, an environmentalist is a true-blue green, greenback green, or sprout.)
a. Specify the probability distribution for Y in table form.
b. Give a formula for p(y).
c. Find m and s, the mean and standard deviation of Y.
d. Use the information, part a, to form an interval that will include Y with a high probability.

Transcribed Image Text:

Basic browns .28 True-blue greens .11 Greenback greens .11 Sprouts .26 Grousers .24