Question

1.) Which of the following conditions on the sample size will guarantee that a binomial approximation to the Normal Distribution will be very accurate? Select all that apply.

a.) np> 5

b.) n>5

c.) nq > 5

d.) n greater than and equal 5

2.) Find the probability that in 200 rolls of a fair die, we observe 85 or less even numbers.

Answer 1

Solution :-

1) conditions to use approximation are ,

a) np > 5

b) nq > 5

If both the above conditions are satisfied then approximation can be used.

np > 5 and nq > 5 these are the conditions on the sample size will guarantee that a binomial approximation to the normal distribution will be very accurate.

( Option a and Option c are correct.)