Recent polls suggest that a probability of about 0.25 of adults
would say they are afraid of heights. Suppose this probability is
true for all adults. Assume responses from different individuals
are independent.
8. What is the probability of having 5
randomly selected adults all say that they
are afraid of heights? Round answer to the
nearest thousandths (3 decimal places)
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UpStudy AI · Accepted Answer

Let $$ p = 0.25 $$ be the probability that one adult is afraid of heights. For 5 independent adults, the probability that they are all afraid of heights is given by

$$
p^5 = (0.25)^5.
$$

Now compute the value:

$$
(0.25)^5 = 0.25 \times 0.25 \times 0.25 \times 0.25 \times 0.25 = 0.0009765625.
$$

Rounded to the nearest thousandth, the probability is

$$
0.001.
$$
The probability that all 5 randomly selected adults are afraid of heights is 0.001.

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