Consider n independent trials, each of which results in one of the outcomes 1, . . .

Question:

Consider n independent trials, each of which results in one of the outcomes 1, . . . , k with respective probabilities

Show that if all the pi are small, then the probability that no trial outcome occurs more than once is approximately equal to

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 02:52 AM

See More Questions

Consider n independent trials, each resulting in any one of r possible outcomes with probabilities P1, P2, . . . , Pr. Let X denote the number of outcomes that never occur in any of the trials. Find...
Consider n independent trials of an experiment in which each trial has two possible outcomes: "success" or "failure." The probability of a success on each trial is p, and the probability of a failure...
Consider n independent sequential trials, each of which is successful with probability p. If there is a total of k successes, show that each of the n!/[k!(n k)!] possible arrangements of the k...
Someone offered the investment options to Hendry on January 1, 2023: 1. Hendry has to save up to 5 times the initial deposit of US $ 150,000/year. 2. The savings cannot be taken for 20 years until...
The Bargain Auto Mall has the following cars in stock. Are the events compact and domestic independent? Explain. SUV 20 65 Mid-sized Foreign Domestic Compact 50 100 20 45
What is the last step in the calculation of (oX) 2? a. Square each score. b. Add the scores. c. Square the sum of the scores d. Add the squared scores.
8-8. Qu es la tabulacin cruzada?
The citys Crime Analysis unit has submitted the following data requests. Provide the SQL statements using subqueries to satisfy the requests. Test the statements and show execution results. 1. List...
17) - 1 litisitis A 441 in: The amoust of brofit of bas frim acceptante of the omer is a . 12T 00 b. 2 rivian |c-itionial a 94+1m
Restful Sleep Mattress Company is planning to expand into selling bedroom furniture. This expansion will require a loan from the bank. The bank has requested financial information. Discuss, in a...
The number of times that a person contracts a cold in a given year is a Poisson random variable with parameter = 5. Suppose that a new wonder drug (based on large quantities of vitamin C) has just...
People enter a gambling casino at a rate of 1 every 2 minutes. (a) What is the probability that no one enters between 12:00 and 12:05? (b) What is the probability that at least 4 people enter the...
List the steps by which lung cancer develops?
Find f(x) if y = f(x) satisfies dy dx 60yx and the y-intercept of the curve y = f(x) is 6. f(x)
Data on the gasoline tax per gallon ( in cents ) as of a certain date for the 5 0 U . S . states and the District of Columbia are shown below. State Gasoline Tax per Gallon State Gasoline Tax per...
Write a function report card where the user can enter each of his grades, after which the program prints out a report card with GPA. Remember to ask the user how many classes he took (think - why...
VA= 18/ A c = ? 1. For the arrangement of cable and pulleys in the figure, the velocities and accelerations of two of the bodies involved are indicated. Determine the velocity and acceleration of the...
Suppose there are two electric charges in 2D planeR2; one is on y-axis and the other is on x-axis: 45km 0 p1:=0,p2:=30km.(1) Thechargesareq1=4.5Catp1andq2=3.0Catp2. (a) Determine the electric field...
Identify the potential costs and benefits of the flexible firm to (a) employers and (b) employees. Have these costs and benefits changed since the start of the global COVID-19 pandemic?
(a) Explain why the concentration of dissolved oxygen in freshwater is an important indicator of the quality of the water. (b) How is the solubility of oxygen in water affected by increasing...
The notation is referred to as a(n) a. Tag. b. Instance document. c. Specification. d. Taxonomy.
The probability of being dealt a full house in a hand of poker is approximately .0014. Find an approximation for the probability that in 1000 hands of poker, you will be dealt at least 2 full houses.
A certain typing agency employs 2 typists. The average number of errors per article is 3 when typed by the first typist and 4.2 when typed by the second. If your article is equally likely to be typed...
State your assumptions. Suppose that the average number of cars abandoned weekly on a certain highway is 2.2. Approximate the probability that there will be a. No abandoned cars in the next week; b....
Ray Company provided the following excerpts from its Production Department's flexible budget performance report. Required: Complete the Production Department's Flexible Budget Performance Report....
Problem 1 5 - 5 ( Algo ) Lessee; operating lease; advance payment; leasehold improvement [ L 0 1 5 - 4 ] On January 1 , 2 0 2 4 , Winn Heat Transfer leased office space under a three - year operating...
Zafra and Stephanie formed an equal profit- sharing O&S Partnership during the current year, with Zafra contributing $100,000 in cash and Stephanie contributing land (basis of $60,000, fair market...

Consider n independent trials, each of which results in one of the outcomes 1, . . .

Question:

P.PkL

Step by Step Answer:

For i j say that trial pair i j is a success if the same outcome occur...View the full answer

A First Course In Probability

Students also viewed these Statistics questions