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?