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)
part (d)
part (e)
part (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? (round your answer to the nearest whole number.)
residents

Explanation:

Step1: Define success probability

Let "success" be finding a resident without adequate supplies. Given 15% have adequate supplies, so the probability of success $p = 1 - 0.15 = 0.85$.

Step2: Apply geometric mean formula

For a geometric distribution, the expected number of trials to achieve the first success is $\mu = \frac{1}{p}$.
Substitute $p=0.85$:
$\mu = \frac{1}{0.85}$

Step3: Calculate and round result

$\frac{1}{0.85} \approx 1.176$, rounded to the nearest whole number is 1.

Answer:

1 residents