Assume that guesses are made for 4 questions on a medical admissions test such that the probability of success (correct) is given by pequals0.30, where there are nequals4 trials. Find the probability that the number x of correct answers is exactly 2.

0.2646 is the probability that exactly 2 questions are correctly answered.

Step-by-step explanation:

We are given the following information:

We treat correct as a success.

P(success) = 0.30

Then the number of correct answers follow a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 4

We have to evaluate:

0.2646 is the probability that exactly 2 questions are correctly answered.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23