3-171. Cabs pass your workplace according to a Poisson pro-cess with a mean of five cabs per hour. Suppose that you exitthe workplace at 6:00 P.M. Determine the following:(a) Probability that you wait more than 10 minutes for a cab.(b) Probability that you wait fewer than 20 minutes for a cab.(c) Mean number of cabs per hour so that the probability thatYOU wait more than 10 minutes is 0.1.

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Answered: 3-171. Cabs pass your workplace…

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 mean number of patients admitted per day to the emergency room of a small hospital 1.3, if on a given day, there are only two beds available for new patients, what us the probability that the hospital will not have neough beds to accommodate its newly admitted patients ?
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Which of the following is a legitimate probability distribution? (d) No. Prob 0.10 (e) No. Prob. (a) No. Prob. 1/4 (b) No. Prob. (c) No. Prob. 0.1 1. 1/4 2. 2. 0.2 2. 0.11 2. 3. 3. 3. 3. 0.25 3. -1 3 1/4 1/4 0.05 0.26 4. 4 4. 4. 0.3 4 4 1/4 04 O a Oc
In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c) Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
How is the probability distribution of a variable defined?
3. Assume that the wait time to see your family doctor is uniformly distribution been 10 and 30 minutes. A. What's the probability you wait more than 20 minutes to see your family doctor? B. What's the probability you less than 15 minutes to see your family doctor? C. What's the probability you wait between 20 and 25 minutes?

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