Consider an experiment in which the number of pumps in use at each of two eight-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U byX = the total number of pumps in use at the two stationsY = the difference between the number of pumps in use at Station A and the number in use at Station BU = the maximum of the numbers of pumps in use at the two stations.Another random variable could be V = the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V?О-в, -7, -6, -5, —4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8O 0, 1, 2, 3, 4, 5, 6, 7О о, 1, 2, 3, 4, 5, 6, 7, 8О -8, -7, -6, -5, -4, -3, —2, -1, 0О-7, -6, -5, -4, -3, -2, -1, оAnother random variable could be W = T, + T,. Let T, = 1 if any of the pumps at Station A is in use and 0 otherwise, and T, = 1 if any of the pumps at Station B is in use and 0 otherwise. What are the possible values of W?O -2, -1, 0, 1, 2O -1, 0, 1O o, 1O 0, 1, 2О о, 1, 2, 3, 4, 5, 6, 7, 8

Answered: Image /qna-images/answer/a6cace5d-d441-44f0-b7fb-ff4f6c998667.jpg

Answered: Consider an experiment in which the…

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

Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Things that are labelled i underneath a b c, etc are all part of that part.
Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Site 1 2 3 4 5 6 7 Method I: 0.013 0.020 0.015 0.055 0.007 0.002 0.010 Method II: 0.014 0.045 0.017 0.039 0.017 0.001 0.013 Do these data indicate a difference (either way) in the average reduction of phosphorous between the two methods? Use α = 0.05. (Let d = Method I − Method II.) (i) What is the level of significance? What is the value of the sample test statistic? (Round…
A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral administration of the vaccines? d) The researchers also created a 95% confidence interval for the difference between the averages. Will the confidence interval contain the value 0? Justify your answer without calculating the confidence interval.e) Let us now assume that there is in fact…
Biologists in Minnesota are interested in determining if there is a difference in the invasion rate of Asian Carp (which can be detrimental to the environment) between the Mississippi River and Lake Mille Lacs. In the Mississippi River, it was found that 206 of 579 fish caught were Asian Carp. In Lake Mille Lacs, 28 of 132 fish caught were Asian Carp. Let p, = the true proportion of Asian Carp in the Mississippi River and let p2 = the true proportion of Asian Carp in Lake Mille Lacs. A test of Ho: P₁ = P2 vs. Ha: P₁ P₂ resulted in a p-value of 0.0015. Which of the following is a correct conclusion? (A) The test is not appropriate, since the researchers should have conducted a one-sided test. (B) The test is not appropriate, since the sample size is too small to conduct an inference test for proportions. (C) The test is not appropriate, since the two sample sizes are very different. (D) The p-value of this test is large, indicating we have sufficient evidence to conclude that a…
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
Select the two different ways to state that the means of two populations are different.
John is skeptical of his friend's claim that Gerald's coffee house has much stronger coffee (in terms of caffeine content) than Sabine's Beans does. So John takes a random sample of large coffees from both shops. and measure the amount of caffeine content in each coffee. Here is a summary of the results: Gerald's Coffee HouseSabine's BeansMean193.06 mG155.97 mGSt. Dev.6.47 mG8.58 mGNumber of Cups6572 John wants to test the null hypothesis H0 : µ1 ≥ µ2 against the alternative hypothesis Ha : µ1 < µ2 at 95% confidence level. What is the critical value to accept/reject the null hypothesis against the alternative hypothesis?

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