Question

Suppose  is a Binomial random variable for which there are 8 independent trials and probability of success 0.5 and is a Binomial random variable for which there are 10 independent trials and probability of success 0.5. What is the difference in their means?

a.	1
	b.	1.25
	c.	1.5
	d.	0.5
	e.	2

Answer 1

In first case with 8 independent trials and probability of success 0.5

that is n = 8 , p = 0.5

mean = n*p = 8*0.5 = 4---------------------------------1

In second case with 10 independent trials and probability of success 0.5

that is n = 10 , p = 0.5

mean = n*p = 10*0.5 = 5--------------------------------2

Difference in means is 5 - 4 = 1

So the option (a) that is 1 is correct option

Hope this will help you.

Remark: for Binomial distribution formula for mean is = n*p