Compute Probabilities of Binomial Experiments
-The probability that an individual has 20-20 vision is 0.15. In a class of 32 students, what is the probability of finding five people with 20-20 vision
A) 0.190
B) 0.156
C) 0.000
D) 0.15

Question

Quizplus · Accepted Answer

The probability of finding five people with 20-20 vision in a class of 32 students can be calculated using the binomial distribution. The probability of success (having 20-20 vision) is 0.15, and the number of trials (students) is 32. Using the binomial distribution formula, we can calculate the probability of finding exactly five people with 20-20 vision as:P(X = 5) = (32 choose 5) * (0.15)^5 * (0.85)^27 = 0.190Therefore, the probability of finding five people with 20-20 vision in a class of 32 students is 0.190, which is choice A.