Answered: {10.2} Suppose that events E and F…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the P(A), P(B) are A and B events exclusive? P(A^c) P(AUB) P(PnB)
A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded. Would it be unusual to find more than 17 who are satisfied with the job the major airlines were doing? The result is/is not unusual, because P(x>17) = _____under the assumption that the proportion of adults that are satisfied with the airlines is 63%. Thus, in 100 random samples of size 20, this result is expected in about ______ of the random samples. (Type integers or decimals. Round to four decimal places as needed.)
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The E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose the P(E) = 0.05, P(T) = 0.06, P(E and T) = 0.03. Find the probability that the car needs no work on the engine.
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A class contains 30 students. The probability of failing in one of the courses for each student is 0.02, but there is no chance to fail in more than one course. You know that a student failed in a course, the probability that the fail reason in non-attendance is 0.015. All other fail reasons are low average. The examinations are private, so the results are mutually independent. Let X and Y be the numbers of failed students due to non-attendance and due to low average, respectively, in that class this semester. Find the joint MGF
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Suppose the probability that a male develops some form of cancer in his lifetime is 0.4573. Suppose the probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51, and that this probability is independent of the probability that a male will develop cancer in his lifetime. • C = a man develops cancer in his lifetime• F = a man has at least one false positive Part (a) Construct a tree diagram of the situation. P(C) = P(F | C) = P(F | C' ) If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not. -You cannot assume the man has cancer because there is not enough information given. -You cannot assume the man has cancer because there is a 51% chance that the test is false. -You cannot assume the man has cancer because both the probability of developing cancer in his lifetime and the probability of…
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{10.2} Suppose that events E and F are​ independent, ​P(E)=0.7​, and ​P(F)=0.6. What is the P(E and F)​?

{10.2} Suppose that events E and F are independent, P(E)=0.7, and P(F)=0.6. What is the P(E and F)?