Thirty-two percent of the students in a management class are graduate students. a random sample of 5 students is selected. what is the probability that the sample contains exactly 2 graduate students

There is a 32.2% probability that the sample contains exactly 2 graduate students.

Step-by-step explanation:

For each student selected, there are only two possible outcomes. Either they are a graduate student, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

Thirty-two percent of the students in a management class are graduate students. This means that .

A random sample of 5 students is selected. What is the probability that the sample contains exactly 2 graduate students?

This is P(X = 2) when . So

There is a 32.2% probability that the sample contains exactly 2 graduate students.

b

step-by-step explanation:

step-by-step explanation: