Consider an urn full of red and black ball. The number of black balls is 90 and

Question

Consider an urn full of red and black ball.  The number of black balls is 90 and the number of red balls is 10.  Using the binomial probability distribution, calculate the probability of having 4 or fewer red balls in a sample of 20 balls removed randomly from the urn. Consider an urn full of red and black ball.  The number of black balls is 90 and the number of red balls is 10.  Using the binomial probability distribution, calculate the probability of having 4 or fewer red balls in a sample of 20 balls removed randomly from the urn.

Explanation / Answer

Number of red balls is 10, thus p(red balls)=10/100=0.1

this is a case of binomial distribution and can be solved using Excel

thus P(x<=4)=BINOM.DIST(4,20,0.1,TRUE)=0.9568

we use TRUE for cummulative distribution

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