Let X represent a binomial random variable with n = 180 and p = 0.25. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
a. P(X ≤ 45)
b. P(X = 35)
c. P(X > 55)
d P(X ≥ 50)
X represent a binomial random variable with n = 180 and p = 0.25
The probability mass function of X is given as -
We can use Normal Aprroximation to Binomial distribution. But here we will use direct Binomial distribution approach.
P(X ≤ 45) = 0.5399
P(X=35) = 0.0157
P(X ≥ 50)=0.2176
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