SITUATION 5(a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without ablowout. Suppose that 15 trucks are tested.(a.1) What is the probability that exactly 5 trucks have blowouts?(a.2) What is the probability that fewer than 5 trucks have blowout?(a.3) Determine the average number of blowouts that may be encountered during the said test.(b) A certain area of the Philippines is, on average, hit by 10 typhoons per year.(b.1) Find the probability that for a given year, fewer that 7 typhoons will pass the area.(b.2) Find the probability that for a given year, anywhere between 8 and 11 typhoons will pass the area.

As per our guidelines we are suppose to answer only one question. Given,n=15p=0.25q=1-0.25=0.75A…

Answered: SITUATION 5 (a) In testing a certain…

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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Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solvedt. Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetrated by the same criminals. The police are investigating twelve property crime cases in this district. In USE SALT (a) What is the probability that none of the crimes will ever be solved? (Round your answer to three decimal places.) (b) What is the probability that at least one crime will be solved? (Round your answer to three decimal places.) (c) What is the expected number of crimes that will be solved? crimes What is the standard deviation? (Round your answer to two decimal places.) crimes (d) What is the smallest number of property crimes n that the police must investigate before they can be at least 90% sure of solving one or more cases? n = crimes
Question # 2 If P(B) = 0.05, P(A|B) = 0.70 and P(A|Bº) = 0.30, find P(B|A). Question # 3 Two fair dice are thrown. i. Given that a total score of al least 10 is obtained, what is the probability of at least one six occurring? ii. Consider the absolute difference, D, between the scores of the two dice. Provide the probability distribution of D.
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A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (Round your answers to three decimal places.) In USE SALT (a) What is the probability that at most 5 of the calls involve a fax message? (b) What is the probability that exactly 5 of the calls involve a fax message? (c) What is the probability that at least 5 of the calls involve a fax message? (d) What is the probability that more than 5 of the calls involve a fax message? You may need to use the appropriate table in the Appendix of Tables to answer this question.
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Question 2 a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by (Image is attached) (i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
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