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

idk

step-by-step explanation:

do it yourself, cause that made me do it myself today, in english!

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: