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According to Bayes’ Theorem, the
In Exercises 33–38, use Bayes’ Theorem to find P(A|B).
37. P(A) = 73%, P(A′) = 17%, P(B|A) = 46%, and P(B|A′) = 52%
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Elementary Statistics: Picturing the World (7th Edition)
- The probability that a regularly scheduled flight departs on time is P(D) = 0.83; the probability that it arrives on time is P(A) = 0.82; and the probability that it departs and arrives on time is P(D NA) = 0.78. Find the probability that a plane departed on time, given that it has .arrived on timearrow_forwardFind the probability P(Ec) if P(E)=0.22.arrow_forwardFrom Actuarial Math A telemarketer of an insurance company makes repeated calls to persons on a computer generated list. The probability of making a sale on any individual call is p= 0.1. Successive calls are independent. Let N be the number of unsuccessful calls before the first sale. What is the probability of making exactly 5 unsuccessful calls before (a) the third sale is made? (b) Find E(N) and Var(N) using E(N) = rß and Var(N) = rß(1+ B). %3Darrow_forward
- Prove that, if (a%m)=(b%m) then m| (a-b)arrow_forwardTest scores for random samples of students from two different schools were recorded. Test the claim that the standard deviation of test scores were students from school A is different from the standard deviation of test scores for students from school B. How many populations? 01 What is the parameter? O Difference between Means O Mean O Variance O Proportion O standard Deviationarrow_forwardAccording to a recent survey, the probability that the driver in a fatal vehicle accident is female (event F) is 0.2758. The probability that the driver is 24 years old or less (event A) is 0.1846. The probability that the driver is female and is 24 years old or less is 0.0438. Answer parts (a) through (d) below. (a) Find the probability of FUA. P(FUA) = (b) Find the probability of F'UA. P (F'UA) = (c) Find the probability of FnA'. P (FnA') = (Round to four decimal places as needed.) (d) Find the probability of F'UA'. P (F'UA') = (Round to four decimal places as needed.) (Round to four decimal places as needed.) (Round to four decimal places as needed.)arrow_forward
- The probability of event A, given that event B has occurred, can be found using Ba P(A) P(BIA) P(A|B)%3D P(A)•P(B|A)+P(A') P (B|A) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A)%3D81%, P (A')= 19%, P(BJA) = 48%, and P (BJA') = 51% The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.) View an example Get more help Help me solve thisarrow_forwardUsing [0 1 0] as the probability vector , answer #22 on page 475arrow_forwardThe probability of event A, given that event B has occurred, can be found using Bayes’s Theorem. Use Bayes’s Theorem to find P(A | B) using the probabilities shown below P(A)=0.35, P(A’)=0.65, P(B | A)=0.1, and P(B | A’)=0.7 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed)arrow_forward
- Given below is the probability generating function (PGF) for y=1,2,3, P(t) =0.35t +0.44r +0.12r Is this a valid PGF? Valid-TRUE Non Valid -FALSEarrow_forwardEXAMPLE 6.67 If λ = 2 per hour and = 3 per hour in an M/M/4/N queueing system and there are 2 chairs for waiting customers, calculate the probability that there are 7 customers in the system.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_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning