(Answered) Question there are two coins one with probability p1 of

Statistics

Question: There are two coins, one with probability p1 of Heads and the other with probability p2 of Heads. One of the coins is randomly chosen (with equal probabilities for the two coins). It is then flipped n = 2 times. Let X be the number of times it lands Heads.

(a) Find the PMF of X.

(b) What is the distribution of X if p1 = p2?

(c) Give an intuitive explanation of why X is not Binomial for p1 6= p2 (its distribution is called a mixture of two Binomials). You can assume that n is large for your explanation, so that the frequentist interpretation of probability can be applied.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92640693
Price:- $15

Verified Expert

Priced at $30 Now at $15, Verified Solution

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A medical researcher is interested in determining whether a

A medical researcher is interested in determining whether a new medication for lung cancer is effective in a group of patients with early-stage disease. Explain what a Type I and Type II error would be in this study. (Be ...

Hospital waiting room times are normally distributed with a

Hospital waiting room times are normally distributed with a mean of 38.12 minutes and a standard deviation of 8.63 minutes. What is the shortest wait time that would still be in the worst 20% of wait times?

Ten students were sampled at random from a student

Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, ...

An investment costs 60096 and offers a return of 10 percent

An investment costs $60,096 and offers a return of 10 percent annually for ten years. What are the annual cash inflows anticipated from this investment? Use Appendix D to answer the question. Round your answer to the nea ...

Heights of women follow a normal distribution with

Heights of women follow a normal distribution with mean μ=63.6 inches and standard deviation of σ=2.5 inches. Suppose random samples of 10 women are chosen and their mean height calculated. Please calculate the mean and ...

The length of time needed to complete certain test is

The length of time needed to complete certain test is normally distributed with mean 74 minutes and standard deviation 17 minutes. Find the probability that it will take more than 70 minutes to complete the test. 0.7035 ...

The number of phone calls that arrive at a phone exchange

The number of phone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on average there are 7 calls per hour. Show all work. a) Find the probability that there are exactly f ...

Find the modified internal rate of return mirr for the

Find the modified internal rate of return (MIRR) for the following series of future cash flows if the company is able to reinvest cash flows received from the project at an annual rate of 8.24 percent. The initial outlay ...

A mental health treatment center wanted to compare group

A mental health treatment center wanted to compare group therapy vs. individual therapy. They are interested in the relationship between treatment type (group, individual) and treatment completion (yes/no). What type of ...

You have 100 coins and 99 of them are fair equal

You have 100 coins, and 99 of them are fair (equal probability of heads or tails). One of them is weighted and has a 90% probability of landing on heads. You randomly choose one of the 100 coins. Find the probability tha ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert