In: Statistics and Probability
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=14), n=15, p=0.7
When X follows Binomial with n and p then
x = 0,1,2,............,n
Where n! = 1 * 2 * 3 * 4 *..............*n
n = 15, p = 0.7
Here we have to find P(X=14)
= 15 * 0.006782 * 0.3
= 0.0305 (Round to 4 decimal)
P(X = 14) = 0.0305