A professor is always in her office for office hours. Students arrive according to aPoisson process of rate 3/hr. If a student arrives, and the professor is already talkingto another student, the student leaves without talking to the professor and never comesback. Otherwise, they talk with the professor for a random number of hours that isuniformly distributed on [0, 1].(a)In the long run, how many students per hour does the professor talk to?(b)professor?What is the long run fraction of students who leave without talking to the

Answered: on process of rate 3/hr. If a student…

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...

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5
A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has five possible values. What are the degrees of freedom for the χ2-statistic?
please help!
A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using F-test and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?
REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that σ1 = 0.6 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that σ2 = 0.8 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Find the number of ways in which one A, three B’s, two C’s, and one F can be distributed among seven stu-dents taking a course in statistics.
Q4// In how many different ways can eleven cakes be distributed among three kids such that each kid gets not less than two cakes and not more than four cakes?
Please solve max in 30-60 minutes with the step, I'm needed and no reject thank u 1.Given l4 = 100 and l9 = 50. Calculate l5 assuming a Uniform Distribution of Death (UDD) Information/Note l4 = number of people living in year 4 l9 = number of people living in year 9 l5 = number of people living in year 5
5) People are waiting in a queue for buying ticket to the cinema. Time required for one person to buy a ticked follows uniform distribution on [2min, 6min]. John arrives to the Cinema 30 minutes before the film starts and there were 10 people waiting in the queue before him. What is the chance that he will be able get his ticket before film starts ?
High temperature in a certain city for the month of July has a uniform distribution over the interval 7070 FF and 9090 FF What is the average temperature in this city in July (Enter only the numerical value)? What is the temperature which exceeded by the temperature on 90%days in July (Enter only the numerical value)?
The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes. Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 10 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 10.…

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