SOLUTION: A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. ​n=11 p=0.1 x<4 T

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Question 1178957: A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. ​n=11 p=0.1 x<4
The probability of x<4 successes is
​(Round to four decimal places as​ needed.)
thank you..

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is p x=0,1,2,3
x=0 has prob. .9^11=0.3138
x=1 has prob. 11*0.9^10*0.1=0.3835
x=2 has prob. 11C2*0.9^9*0.1^2=0.2131
x=3 has prob. 11C3*09.^8*0.1^3=0.0710
that prob. sum is 0.9815 when rounding is considered
calculator 2nd VARS binomcdf(11,0.1,3) not 4 because it is < 4, not <=4.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

You will save a lot of the gray substance of your mind, if,

instead of making these calculations by hand or by using a pocket calculator,

you will go to web-site https://stattrek.com/online-calculator/binomial.aspx

and will use free of charge online calculator there.



Also,  see 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).