Suppose that during a given week, 20 new customers have signed up for a specialized service your company provides. Eight of these new customers are automotive companies, and the remaining twelve are financial services firms. If a random sample of 5 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that 2 of the selected customers are financial services firms

0.2384 = 23.84% probability that 2 of the selected customers are financial services firms

Step-by-step explanation:

The customers are chosen from a sample without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

20 new customers have signed up for a specialized service your company provides.

This means that

Twelve are financial services firms.

This means that

Sample of 5

This means that

What is the probability that 2 of the selected customers are financial services firms

This is P(X = 2).

0.2384 = 23.84% probability that 2 of the selected customers are financial services firms

m a t h w a y. c o m

step-by-step explanation: