Question

it has been estimated that only about 15% 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.
part (a)
part (b)
part (c)
give the distribution of x
x ~ ( )

Explanation:

Step1: Identify distribution type

This is a geometric distribution, which models the number of trials until the first success (here, finding a resident without adequate supplies).

Step2: Define success probability

Probability a resident does NOT have adequate supplies: $p = 1 - 0.15 = 0.85$

Step3: State distribution notation

A geometric distribution is written as $X \sim \text{Geometric}(p)$

Answer:

$X \sim \text{Geometric}(0.85)$