Geometric Distribution (Optional) · Exercise 9

It has been estimated that only about 30 percent of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies.

(a) In words, define the random variable X.
(b) List the values that X may take on.
(c) Give the distribution of X. X ~ _____(_____,_____)
(d) What is the probability that we must survey just one or two residents until we find a California resident who does not have adequate earthquake supplies?
(e) What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies?
(f) How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies?
(g) How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §4.4 Geometric Distribution (Optional) · Exercise 9