Binomial Distribution · Exercise 27

Let X = the number of games won in that upcoming month.

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 11 California residents. We are interested in the number who 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 at least eight have adequate earthquake supplies?
(e) Is it more likely that none or that all of the residents surveyed will have adequate earthquake supplies? Why?
(f) How many residents do you expect will have adequate earthquake supplies?

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

OpenStax, Introductory Statistics 2e · §4.3 Binomial Distribution · Exercise 27