Question

It is known that 10% of adults can pass a fitness test. What is the probability that 17 adults in a sample of 100 adults pass this fitness test?

A. 0.9900
B. 0.0106
C. 0.1000
D. 0.0343

Answer 1

Answer: Option B

Explanation:

We can use the binomial formula to solve this problem.

`P(X) = (n!)/(x!(n-x)!)*p^x(1-p)^(n-x)`

Where p is the probability of success, n is the sample size and x is the number of successes expected.

Note that in this case

`p = 0.10` (probability of an adult passing the fitness test)

`n = 100`

`x = 17`

Then we calculate the probability

`P(X=17) = (100!)/(17!(100-17)!)*0.1^(17)(1-0.1)^(100-17)`

`P=0.0106`