Problem 5An engineering project management firm divides projects into three risk categories: 70% ofprojects are low risk, 20% are medium risk, and 10% are high risk. Based on historical data, alow risk has a 0.03 probability of not being completed on time, a medium risk project has a 0.11probability of not being completed on time, and a high risk project has a 0.23 probability of notbeing completed on time.a. What is the probability that the project is low risk and is completed on time?b. What is the probability that a project is not completed on time?c. Given that the project was not completed on time, what is the probability that it wasconsidered to be low risk?

P(low risk) = 70% = 0.70 P(medium risk) = 20% = 0.20 P(high risk) = 10% = 0.10 P(low risk / not…

Answered: Problem 5 An engineering project…

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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Problem 1. A certain disease has a prevalence of one in every 100 individuals in the population. A test for this disease has a false positive rate of 10% and a false negative rate of 3%. The rate of false positives and false negatives depends only on whether or not the tested individual has the disease. What is the probability that an individual who tests positive twice for the disease has the disease? What is the probability that an individual who tests negative twice for the disease has the disease?
Problem 1 A pharmaceutical company has developed 10 new promising drugs. Six of them are against malaria and four are against dengue fever. However, the drugs must first succeed in control trials before they get approved. The success of each drug is independent of the others. The probability of success of each malaria drug in the control trials is 0.5, while the probability of success of each of the dengue fever drugs is only 0.25. (a) (b (c) Out of the 10 drugs, how many should we expect to succeed in the control trials? What is the probability that all the 10 drugs fail? What is the probability that only one of the 10 drugs succeeds?
Problem 2 [12 points]: Fourth digit of ID a. Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the probability of not meeting specification for the first component is equal to 0.09/ 0.11/ 0.13. For the second and third components the probabilities of not meeting specifications are 0.05/ 0.04/ 0.03 and 0.06/ 0.07/ 0.08 respectively. Assuming that the components are independent in terms of not meeting the specification, determine the probability mass function of the number of components in the assembly that does not meet specification. (6.0) Fifth digit of ID Last digit of ID
Section 5.3 A computer software company receives hundreds of support calls each day. There are several common installation problems, call them A, B, C, and D. Several of these problems result in the same symptom, lock up after initiation. Suppose that the probability of a caller reporting the symptom lock up is 0.6 and the probability of a caller having problem A and a lock up is 0.5. Step 1 of 2 : Given that the caller reports a lock up, what is the probability that the cause is problem A? Round your answer to four decimal places, if necessary. Step 2 of 2 : What is the probability that the cause of the malfunction is not problem A given that the caller is experiencing a lock up? Round your answer to four decimal places, if necessary.
Can you help with question D.
Problem 5 and 6 in Chapter 17 cited a study showing that people tend to choose partners who are similar to themselves. Jones, Pelham, Carvallo, and Mirenberg, (2004) demonstrated that people have a tendency to select marriage partners with surnames that begin with the same last letter as their own. The probability of randomly matching two last names beginning with the same letter is only p = 0.065 (6.5%). a. If 19 out of 200 marriages involved brides and grooms with the last names beginning with the same letter, is that enough to be significantly different than would be expected by chance? Use a two-tailed test with alpha = .05. b. If 38 out of 400 marriages involved the same letter, is that enough to be significant using a two-tailed test with alpha = .05?
Problem 1 The University of Oklahoma has a renowned radar research program within the School of Electrical and Computer Engineering. Say that there are two radar prototypes under development, A1 and A2, and the effectiveness of each is determined by their ability to spatially detect a particular object. A1 has a probability of 0.5 of detecting the object, and A2 has probability 0.3 of detecting the object. a. Find the probability that the object is detected. b. Find the probability that the object is detected by exactly one of the radar prototypes. c. Given that the object was detected by exactly one of the prototypes, find the probability that it was A1 that detected it.
Problem 3. A study of male criminals in Philadelphia found that the probability that one type of offense is followed by another type can be described by the following transition table: Current Nonindex Injury Theft Damage Combination Next Nonindex Injury Theft Damage 0.645 0.099 0.152 0.033 0.611 0.514 0.609 0.523 0.138 0.128 0.033 0.067 0.271 0.030 0.107 0.178 0.093 0.183 0.064 0.022 Combination 0.071 0.090 0.118 0.042 0.179 (a) For a criminal who commits theft, what is the probability that his next crime is also a theft? (b) For a criminal who commits theft, what is the probability that his second crime after that is also a theft? (c) If this trends continue, what are the long-term probabilities for each type of crime?

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