Question 1196861: Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤3), n=6, p=0.6
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
Assume the random variable X has a binomial distribution with the given probability
of obtaining a success. Find the following probability, given the number of trials
and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤3), n=6, p=0.6
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It is a standard binomial distribution problem.
The number of trials is n=6; the indexes of successful trials are k=0, 1, 2, 3;
the probability of success for each single individual trial is p = 0.6).
The formula to calculate the probability is
P = P(0) + P(1) + P(2) + P(3) = P(n=6; k<=3; p=0.6) =  =  .
To facilitate my calculations, I used online calculator at this site https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
The resulting number is P = 0.4557 (rounded). ANSWER
Solved.
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If you want to see many similar (or different) solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
- How to calculate Binomial probabilities with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using online solver)
in this site.
After reading these lessons, you will be able to solve such problems on your own,
which is your PRIMARY MAJOR GOAL visiting this forum (I believe).
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website!
Hi
Binomial Distribution: n=6, p=0.6
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
P(X ≤ 3) = binomcdf(n, p, largest x-value)
binomcdf(6, .6, 3) = .45568 0r .4557 Rounded to four decimal places.
Agree with my distinguished colleague, recommend Using stattrek.com to check Results until You are familiar with Using Your Calculator.
**Important to know what type of calculator may be used in a test situation.
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