Question

The probability that an individual has 20-20 vision is 0.1 in a class of 77 students, what is the probability of finding five people with 20-20 vison

A)0.065
B)0.000
C)0.1
D)0.100

Answer 1

To find the probability of finding five people with 20-20 vision, we can use the binomial probability formula.

Step-by-step explanation:

To find the probability of finding five people with 20-20 vision, we can use the binomial probability formula.

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) is the number of combinations of n things taken k at a time.

In this case, n = 77, k = 5, and p = 0.1.

Using the formula, we have:

P(X = 5) = C(77, 5) * 0.1^5 * (1-0.1)^(77-5)

= (77! / (5! * (77-5)!)) * 0.1^5 * 0.9^72

Calculating this expression gives us approximately 0.065.

Therefore, the probability of finding five people with 20-20 vision is 0.065 (A).