Bayes' theorem for an ʼAND’ combined event is:Pr( A 'AND' B) = Pr( A|B )*Pr( B ).When does this become Pr( A 'AND’ B) = Pr( A)*Pr( B )?Q15.A. When A and B are Independent.B. When A and are mutually exclusive.C. When A and B are sequential events.D. When Pr(A ʼAND’ B) = 0. Bayes' theorem for an ʼAND’ combined event is:Pr( A 'AND' B) = Pr( A|B )*Pr( B ).When does this become Pr( A 'AND’ B) = Pr( A)*Pr( B )?Q15.A. When A and B are Independent.B. When A and are mutually exclusive.C. When A and B are sequential events.D. When Pr(A ʼAND’ B) = 0.

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Answered: 5. Bayes' theorem for an 'AND’ combined…

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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26. If P(A) = 0.3 P(B) = 0.2 and P(C)=0.1 and A, B, C are independent events the probability of occurrence of at least one of the three events A,B, C is
2. Iron bars produced by a machine can either be classified as "Good" with probability p, or "Bad" with probability q = 1- p. The quality of each iron bar produced is independent of each other. (a) Suppose there are n iron bars produced by the machine. Write down the probability that there are exactly r "Good" iron bars among the n of them for all positive integers r. (b) Suppose the machine keeps producing iron bars until k "Good" ones are obtained. Let X be the total number of iron bars produced. Show that the probability mass function of X is given by Px(x) = (x − 1) ₁² (1 - p)² -*. x=k, k +1,.... (c) In a single day, the machine produces exactly N = n iron bars, where N has mean and variance given by E(N) = a, Var(N) = 3. Let W be the total number of "Good" iron bars produced in a single day. i. Find E(W) and Var(W) in terms of p, a and 3. You can use the mean and variance of any standard distributions without proof as long as you state them clearly. ii. Determine the covariance…
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Determine the number of outcomes in the event. Decide whether the event is a simple event or not. A computer is used to select randomly a number between 1 and 9, inclusive. Event C is selecting a number less than 2. Event C has= outcome(s). Is the event a simple event? Choose A or B or C ▼ (A)Yes, (B) No, because event C has ▼ (A)exactly (B)fewer than (C)more than one outcome.
1. Events A and B are mutually exclusive with P(A) = 0.280 and P(A or B) = 0.740 a) P(B)= b) P(Not A)= c) P(A and B)=
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Suppose that in a large university, 40% of students work part time, 10% are part of one of the university's sports teams, and 5% both work part time and are part of one of the university's sports teams. Let W be the event that a student works part time, and V be the event that a student is part of one of the university's sports teams. Make sure all your answers are expressed in terms of the events W and V,. 4. А. What is the probability that a randomly selected student works part time or is a part of one of the university's sports teams? В. teams? What proportion of students do not work part time but are part of one of the university's sports С. Are W and V independent events? D. If a student works part time, what is the probability they are also part of one of the university's sports teams? Е. What proportion of students are not part of any of the university's sports teams and work part time?
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5. Bayes' theorem for an 'AND’ combined event is: Pr( A 'AND’ B) = Pr( A|B )*Pr( B ). When does this become Pr( A ʼAND’ B) = Pr( A)*Pr( B A. When A and B are Independent. B. When A and are mutually exclusive. C. When A and B are sequential events. D. When Pr(A ʼAND’ B) = 0.

5. Bayes' theorem for an 'AND’ combined event is: Pr( A 'AND’ B) = Pr( A|B )Pr( B ). When does this become Pr( A ʼAND’ B) = Pr( A)Pr( B A. When A and B are Independent. B. When A and are mutually exclusive. C. When A and B are sequential events. D. When Pr(A ʼAND’ B) = 0.