(CO 3) Fifty-four percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below).

21.71% probability that the number of these selected teens that have heard of a fax machine is exactly six

11.98% probability that the number is more than 8

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they have heard of a fax machine, or they have not. The probability of a teen having heard of a fax machine is independent of other teens. So we use the binomial probability distribution to solve this question.

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

And p is the probability of X happening.

Fifty-four percent of US teens have heard of a fax machine.

This means that

You randomly select 12 US teens.

This means that

Find the probability that the number of these selected teens that have heard of a fax machine is exactly six

This is P(X = 6).

21.71% probability that the number of these selected teens that have heard of a fax machine is exactly six

Find the probability that the number is more than 8

11.98% probability that the number is more than 8

answer: 59

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.