The number of cars that pass through a toll booth on a given highwaybetween 7 and 8 am is distributed Poisson with parameter 15. Each carthat passes through the toll booth may or may not be registered and thisrecord is independent of previous records. The probability of beingregistered is 1/4. Find the joint moment-generating function of thenumber of registered cars and the number of cars that are not registered.

Answered: Image /qna-images/answer/11621bad-f5a1-48c1-9510-fbe180bdd156.jpg

Answered: The number of cars that pass through a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Describe the distribution where radioactive particles are emitted at a poisson rate of 5 per second. Let W reflect the waiting time until the 20th particle. What is the expected time here?
.ll T-Mobile LTE 10:30 PM 1 85% Done 2 of 3 M O FDU O a O FDU FOU FOU O udent.desmos.com/activitybuilder/student/607e171508264d0cbdf6f178#screenldx=5 XM XM w w w FOU FOU se Connec. Clara Destiny sho. O Employment Center + Login Session Expiration. b Selling Associate-. A Sign in P View Portralt Pro. sson 9: Variability in Samples O Nursing Variability of Sample Estimates Estimates for population characteristics are usually given along with a margin of error. The margin of error is the maximum expected difference between the estimate of the population characteristic and the actual population characteristic. Each of the sample proportions are good estimates of the population proportion, so we should give a margin of error that contains about 95% of the sample proportions to be reasonably sure that the actual population proportion is in the range between the mean minus the margin of error to the mean plus the margin of error. What margin of error should be given along with the estimate of…
A hot dog concession at Safeco Field sells an average of 54.67 hot dogs per hour (believed to follow a Poisson Distribution). How many hot dogs should the vendor stock in order to be 93% sure it has enough hot dogs for 1.5 hour(s)? F−1(0.93)=
A drawer holds purple socks and yellow socks. If n socks are taken out of the drawer at random, the probability that all are yellow is 1/2. What is the smallest possible number of socks in the drawer (as a function of n)?
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS