↵The mean and variance of a binomial distribution is 4 and 4/3 resp Find the distribution P(X =1) - Maths - Probability

Question

↵The mean and variance of a binomial distribution is 4 and
4/3 resp Find the distribution P(X>=1)

Varun.Rawat · Accepted Answer

We have,mean = np = 4   
1variance = npq = 43    
2Substituting the value of np from 1 in 2, we get⇒4q = 43⇒q = 13Now, p = 1 - q = 1-13 = 23Now, np = 4⇒2n3 = 4⇒n = 6So, binomial distribution is,PX=r = Crn pr qn-r = Cr6 23r 136-rNow, PX⩾1 = 1-PX=0 = 1 - C06 230 136-0 = 1 - 1729 = 728729

↵The mean and variance of a binomial distribution is 4 and 4/3 resp. Find the distribution P(X>=1)