Question

Find the indicated probability In one town, 77% of adults have health insurance What is the probability that 10 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary

Answer 1

Given that 77% of the adults have health insurance

This means that the probability that a person having a health insurance is equal to 0.77.

Now to find the probability that if 10 adults are randomly selected then all have health insurance

So the probability would just be the multiplication of probability that each has heath insurance as it is random

So

P(All 10 adults have health insurance) $=0.77^{10}=0.07326680 \approx 0.073$

Hence the probability that all 10 adults have health insurance is 0.073.

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