Question

1. Using the Markov inequality, estimate the probability that a binomial random variable with n = 10 and p = 0.1 exceeds 3.

Answer 1

Answer:

Given that:

Using the Markov inequality, estimate the probability that a binomial random variable with n = 10 and p = 0.1 exceeds 3.

If x be a non negative random variable then by markov's inequality .We have

,

Here

X takes the values 0,1,2....10. So X is non-negative

  

The probability that a binomial random variable with n=10 and p = 0.1 exceeds 3 is less than or equal to 1/3.