# Question: Use the moment generating function technique to rework Exercise 7 27 In

Use the moment-generating function technique to rework Exercise 7.27.

In exercise

If X1 and X2 are independent random variables having binomial distributions with the respective parameters n1 and θ and n2 and θ, show that Y = X1 + X2 has the binomial distribution with the parameters n1 + n2 and θ.

In exercise

If X1 and X2 are independent random variables having binomial distributions with the respective parameters n1 and θ and n2 and θ, show that Y = X1 + X2 has the binomial distribution with the parameters n1 + n2 and θ.

## Answer to relevant Questions

Find the moment-generating function of the negative binomial distribution by making use of the fact that if k independent random variables have geometric distributions with the same parameter θ, their sum is a random ...In Exercise 3.101 on page 108, the price of a certain commodity (in dollars) and its total sales (in 10,000 units) were denoted by P and S. Use the joint density given in that exercise and the distribution function technique ...With reference to Exercise 3.100 on page 107, find the probability density of the distance between the point of impact and the center of the target. With reference to Exercise 7.59, what is the probability that the car dealer will receive six inquiries about the 2010 Ford and eight inquiries about the other two cars? In exercise In a newspaper ad, a car dealer lists a ...The logarithm of the ratio of the output to the input current of a transistor is called its current gain. If current gain measurements made on a certain transistor are normally distributed with µ = 1.8 and σ = 0.05, find ...Post your question