Let be a random variable having binomial distribution . If , then the sum of the mean and the variance of is

Question

Let  be a random variable having binomial distribution . If , then the sum of the mean and the variance of  is

Canvas Classes · Accepted Answer

🧠 Ratio of  to  Gives a Linear Equation in

Read the question carefully.  with .

.

Setting :

.

Divide both sides by :

.

So .

This is the habit I want you to build. For ratios of consecutive binomial probabilities , cancel the matching powers and binomial coefficients. The remaining equation is always linear in .

🗺️ Working It Out

Mean .

Variance .

Sum . Common denominator :

.

⚡ The Smart Move

For "" type problems, the ratio . So:

.

Set this equal to  and solve for . Here ,

More questions from this chapter

More questions from this chapter