Geometric Distribution · Exercise 9

It has been estimated that only about 30% 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, Introductory Statistics 2e · §4.4 Geometric Distribution · Exercise 9