12. Between the hours of 2 and 4 p.m., the average number of phone callsper minute coming into the switchboard of a company is 2.5. Find theالمسوحة لولیا و ۱۳۲2.10 Poisson Distribution2.125probability that during a particular minute, there will be (i) no phonecall at all, (ii) 4 or less calls, and (iii) more than 6 calls.(23)

Answered: 12. Between the hours of 2 and 4 p.m.,…

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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A hand consists of 44 cards from a well-shuffled deck of 52 cards. a. Find the total number of possible 44-card poker hands. b. A blackblack flush is a 44-card hand consisting of all blackblack cards. Find the number of possible blackblack flushes. c. Find the probability of being dealt a blackblack flush.
5. Emergency patients arrive at a dental surgery at a mean rate of one every 2 hours. Calculate the probability that such a patient arrives within the next 1.5 hours. The surgery manager wants to avoid the arrival of two such patients within one half-hour period. Calculate the probability of this event happening.
7. I am producing 400-gram loaf breads in one of my production lines and measured the weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.)J. What is the probability of selecting an underweight loaf first, a 400-g loaf net, and an overweight loaf last? K. What is the probability that I get an exact weight or overweight bread?
3. Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, 25% of homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let Y be the number among the four that have earthquake insurance. (a) Find the probability distribution of Y. (b) Draw the corresponding probability histogram. (c) What is the most likely value for Y? (d) What is the probability that at least two of the four selected have earthquake insurance?
3
The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m. What is the probability that there will be exactly 8 cracks in a 700 m length of pavement? O A. 0.224 O B. 0.034 O C. 0.130 O D. 0.065
A. Recent crime reports indicate that 0.5 motor vehicle thefts occur each minute in an industrial area. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. i. What is the average number of motor vehicle thefts occurring in five minutes? ii. Find the probability exactly three motor vehicle thefts occur in five minutes. Note: 1.Please clear answer no (i,ii) 2. No need excel formula.
1] It has been reported that 50% of college students graduate in six years. Consider a random sample of 37 students and consider the number who graduate in six years. Using an appropriate probability distribution model ... Find the probability that more than 19 students in the sample graduate in six years. Find the probability that less than 19 students in the sample graduate in six years.

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