SOLUTION: PLEASE HELP!!!! In the U.S, 40% of the population have brown eyes. If 14 people are randomly selected, find the probability that at least 12 of them have brown eyes. Show your

Algebra ->  Probability-and-statistics -> SOLUTION: PLEASE HELP!!!! In the U.S, 40% of the population have brown eyes. If 14 people are randomly selected, find the probability that at least 12 of them have brown eyes. Show your       Log On


   



Question 361454: PLEASE HELP!!!!
In the U.S, 40% of the population have brown eyes. If 14 people are randomly selected, find the probability that at least 12 of them have brown eyes.
Show your work.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You want the probability of at least 12 successes out of 14 trials where the probability of success on one trial is 0.4.

The probability of exactly successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by

To get the probability of "at least" some number of successes, then you need to sum the probability of that number of successes plus "that number plus 1" successes plus "that number plus 2" successes...up to the total number of trials :



Which expands to:




You have some calculator button punching to do.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism