According to Bayes’ Theorem, the
In Exercises 33–38, use Bayes’ Theorem to find P(A|B).
34. P(A) =
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Elementary Statistics: Picturing the World (7th Edition)
- Q.2 Find the probability generating function of :1) P(X=2n) 2) P(Xarrow_forwardA student goes to the library. Let events B = the student checks out a book and D = the student checks out aDVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.a. Find P(B′).b. Find P(D AND B).c. Find P(B|D).d. Find P(D AND B′).e. Find P(D|B′).arrow_forwardVe-u164 Wind engineers have found that wind speed v (in meters per second) at a given location follows a Rayleigh distribution of the type 1 W(v) = %3D 32 This means that at a given moment in time, the probability that v lies between a and b is equal to the shaded area in the following figure. W 0.1+ graph of W(v) 0.05+ v (m/s) 20 a (a) Find the probability that v E [0, b]. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in terms of b.)arrow_forwardPlease help with c-e! Thank you!arrow_forwardLet P(U)=0.06P(U)=0.06 and P(V)=0.44P(V)=0.44. Events UU and VV are mutually exclusive. Recall: P(A or B) = P(A) + P(B) - P(A and B)Find P(U or V)P(U or V).Is it correct answer 0.5?arrow_forwardLet X and Y be independent, taking on {1,2,3,4,5} with equal probabilities. E((X+Y)2)=?arrow_forwardBetween 5:00 pm and 6:00 pm, cars arrive at a McDonald’s drive-thru at the rate of 20 cars per hour. The following formula from probability can beused to determine the probability that x cars will arrive between 5:00 pm and 6:00 pm.P(x) = (20xe-20)/x! wherex! = x . (x - 1) . (x - 2) . g. 3 . 2 . 1(a) Determine the probability that x = 15 cars will arrive between 5:00 pm and 6:00 pm.(b) Determine the probability that x = 20 cars will arrive between 5:00 pm and 6:00 pm.arrow_forwardThe probability of success in a certain game is p. The results in successive trials are independent Determine the generating function of Z and use the result to compute E(Z) and Var(Z) Let Z be the number of turns required in order to obtain r successes.arrow_forwardWe throw a coin until a head turns up for the second time, where p is the probability that a throw results in a head and we assume that the outcome of each throw is independent of the previous outcomes. Let X be the number of times we have thrown the coin. a. Determine P(X = 2), P(X = 3), and P(X = 4). b. Show that P(X = n)=(n−1)p2(1−p)n−2 for n ≥2.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt