Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job

0.7667 = 76.67% probability that at least 2 graduates have a summer job

Step-by-step explanation:

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.

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.

This means that

6 graduates.

This means that

What is the probability that at least 2 graduates have a summer job

This is:

In which

. So

0.7667 = 76.67% probability that at least 2 graduates have a summer job

faster, im not sure why but i know it is faster