SOLUTION: 40 percent of students at a high school are colorblind. if 11 students are picked at random what is the probability that at most 4 students are colorblind?

Question 1155560: 40 percent of students at a high school are colorblind. if 11 students are picked at random what is the probability that at most 4 students are colorblind?
Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
.

            It is a binomial distribution type problem.

            I will use the Excel standard function BINOM.DIST to facilitate calculations.
            It has the analogue --- the standard function binompdf in pocket calculators TI-83 and TI-84.

Probability of having 4 or fewer colorblind among 11 students picked at random is 


    P = P(0) + P(1) + P(2) + P(3) + P(4) =  = BINOM.DIST(4, 11, 0.4, TRUE) = 0.5328 = 53.28%.


The Excel standard function BINOM.DIST allows calculating this sum in one click.

Solved.

On Excel function BINOM.DIST, see its description everywhere, for example
https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c

On binompdf function for pocket calculators TI-83 and TI-84 see the link
http://users.rowan.edu/~schultzl/ti/binomial.pdf

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If you want to see other similar solved problems, look into the lessons
    - Solving problems on Binomial distribution
    - How to calculate Binomial probabilities using Technology
    - Solving problems on Binomial distribution with Technology
in this site.

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