SOLUTION: Consider a binomial random variable with n = 7 and p = 0.8. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)

Algebra ->  Test -> SOLUTION: Consider a binomial random variable with n = 7 and p = 0.8. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)       Log On


   

Question 1206637: Consider a binomial random variable with n = 7 and p = 0.8. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)
P(x = 3)
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Consider a binomial random variable with n = 7 and p = 0.8.
Let x be the number of successes in the sample. Evaluate the probability.
(Round your answer to three decimal places.)
P(x = 3)
~~~~~~~~~~~~~~~~ 

Use the standard formula for the binomial distribution probability,
which you should know from your textbook, since it is a pre-requisite


    P = C%5B7%5D%5E3%2A0.8%5E3%2A%281-0.8%29%5E%287-3%29 = %28%287%2A6%2A5%29%2F%281%2A2%2A3%29%29%2A0.8%5E3%2A0.2%5E4 = 0.028672.


ANSWER.  P = 0.029, rounded as requested.



Alternatively, you can use a regular calculator TI-83/84, with its standard function binompdf.

To learn about it and HOW TO, read from this source

https://www.sayvilleschools.org/site/handlers/filedownload.ashx?moduleinstanceid=3050&dataid=12830&FileName=calc%20directions.pdf



Alternatively, you can use Excel standard function BINOM.DIST

About this function, its format and parameters/arguments, read from this source 

https://support.microsoft.com/en-us/office/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c



Alternatively, you can use free of charge online calculator 

https://stattrek.com/online-calculator/binomial.aspx

which, in my opinion, is the best tool for such calculations/exercises.

Solved.