Question: A variation of the binomial distribution arises when the n trials are all independent, but the probability of a success on the ith trial is

A variation of the binomial arises when the n trials are all independent, but the probability of a success on the ith trial is Î¸i, and these probabilities are not all equal. If X is the number of successes obtained under these conditions in n trials, show that
(a) µX = n., where

(b) Ïƒ2X = nÎ¸(1 €“ Î¸) €“ nÏƒ2Î¸ , where Î¸ is as defined in part (a) and

Step by Step Solution

★★★★★

3.46 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

X X 1 X 2 X ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

583-S-J-P-D (787).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

p = 0.5, n = 100. Compute the coefficient of variation of the binomial distribution in the above case.

p = 0.5, n = 25. Why is the coefficient of variation larger than in Exercise 5? Compute the coefficient of variation of the binomial distribution in the above case.

p = 0.9, n = 25. Compute the coefficient of variation of the binomial distribution in the above case.

25. A variation of the binomial distribution arises when the n trials are all independent, but the probability of a success on the ith trial is i, and these probabilities are not all equal. If X is...

Question: 2.4: An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is 0.3. 2.4.1 Use both the...

Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Rolling a single die 57 times, keeping track of the numbers that are rolled. Not binomial:...

0 Question 1 [3 0/1 pt '0 3 23 99 G) Details Multiple-choice questions each have 6 possible answers, one of which is correct. Assume that you guess the answers to 3 such questions. Use the...

Choose a woman over 18 years of age at random from the entire U.S. population. Here are the probabilities for her marital status. Outcome: Single Married Widowed Divorced Probability: ? 0.58 0.12...

No explanation necessary / required. Looking to check my answers against those of an expert. Question 1: American Airlines' flights from Denver to Seattle are on time 80 % of the time. Suppose 7...

Which of the following integrals are equal to zero (you do not need to evaluate the integrals explicitly)? 1. 2 sin (3x) da 2. 3. f cos x da 4. 11 + x da 5. 90 -90 - 2+ dz sin (52) -sin a dr A B D E...

A manufacturer of fertilizer is stressing over the fall in sales that they are experiencing for the past three months. They are suspecting that inconsistency in quality is the reason behind the...

Why would a company issue bonds? Question 1 7 Answer a . It is a relatively easy way to raise capital, and it is cheaper than equity financing. b . Bonds are a self - extinguishing loan that pays...

The TARGET2 system: a) does not settle payments between the participating national central banks; b) guarantees payment finality between the participating national central banks; c) issues the euro...

A consulting firm submitted a bid for a large research project. The firms management initially felt they had a 5050 chance of getting the project. However, the agency to which the bid was submitted...

A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation does it take until you feel truly relaxed (USA today, August 24, 2011). The responses were as...

M7 Project 1 Chang Dental Read the instructions and the attached Excel spreadsheet thoroughly before starting the project! Objectives: 1. Perform a qualitative analysis on a capital budgeting...

this is the full question How much does each company save by engaging in interest rate swaps if we assume each company shares the benefits evenly with their counterparty. How much does each company...