Question

If x is a binomial random variable with n trials and success probability p , then as n gets smaller, the distribution of x becomes

Answer 1

If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution

Explanation:

For this problem we are assumeing that the random variable X is :

`X \sim Bin(n,p)`

If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution and if we don't satisfy this two conditions:

`n p>10`

`n(1-p) >10`

Then we can't use the normal approximation