4. Students arrive at a tutoring center to a Poisson process with a rate of 10 per hour.(a) What is the probability that the second arrival is observed less than 15 minutes after the firstarrival?(b) What is the probability that the third arrival is observed less than 10 minutes after the secondarrival if it has not yet been observed 5 minutes after the second arrival?(c) What is the probability that more than 20 minutes is required for the third arrival?(d) Suppose a volunteer working at the center has a 6-hour shift. Compute the expected value andthe variance for the number of students who would arrive during her shift.

Answered: Image /qna-images/answer/3ab0aada-0078-4711-8dba-029c92b1136d.jpg

Answered: 4. Students arrive at a tutoring center…

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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The number of hits to a website follows a Poisson process. Hits occur at the rate of 1.1 per minute between 7:00 P.M. and 10:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 7:41 P.M. and 7:48 P.M. Interpret each result. (a) exactly four (b) fewer than four (c) at least four
8. You manage a call center and your job is to make sure the employees aren't slacking off when they are on the clock. You notice that one employee goes 20 minutes without picking up the phone, and you know the expected time between calls is 2 minutes. Derive an upper bound for the probability that the employee didn't receive a call during the 20 minutes.
I need question b only
8 In a supermarket, the prices marked on the signs that are placed on the shelf do not always correspond to the current price of the merchandise, since errors may occur when recording price changes. Assume that over time 60% of the price changes are increases and 40% are decreases. Assume also that 93% of the price increases are marked correctly, as are 98% of the reductions. If a price is not marked correctly, what is the probability that the change is a reduction?.
The number of hits to a website follows a Poisson process. Hits occur at the rate of 2.2 per minute between 7:00 P.M. and 10:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 7:42 P.M. and 7:50 P.M. Interpret each result. (a) exactly eight (b) fewer than eight (c) at least eight
Philippine General Hospital (PGH) anguish about queue in emergency rooms. The medical staff on hand cannot accommodate the patient on-queue if there are more than 10 emergency cases in a given hour. It is assumed that patient arrival follows a Poisson process, and historical data suggest that, on the average, 8 emergencies arrive per hour. What is the probability that more than 25 emergencies arrive during a 2-hour shift?"
3. Football goal scoring events arrive as a Poisson process in a a 90-minute match at a mean rate of 2.7 goals per match. Find the probability that an interval time is less than 30 minutes: (A) 0.0672 (B) 0.4066 (C) 0.5934 (D) 0.9328
1. Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00 p.m. Determine the following: (a) Probability that 3 cabs pass by 6:30 p.m. (b) The expected number of cabs that pass by 6:10 (c) Probability that you wait more than 10 minutes for a cab.
how do i solve parts A and B?
Directions: Solve the given problem. Show your solutions. Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.
The number of hits to a website follows a Poisson process. Hits occur at the rate of 6.8 per minute between 7:00 P.M. and 11:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 10:13 P.M. and 10:14 P.M. Interpret each result. (a) exactly seven (b) fewer than seven (c) at least seven ..... (a) P(7) = (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) (b) P(x <7)=| (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) (c) P(x27) = (Round to four decimal places as needed.) On about of every 100 time intervals between 10:13 P.M. and 10:14 P.M, the website will receive hit(s). (Round to the nearest whole number as needed.) Time Remaining:…
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: р = 0.8 p0.8 What type of test is being conducted in this problem? A. Left-tailed test B. Two-tailed test C. Right-tailed test

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