According to Bayes’ Theorem, the
In Exercises 33–38, use Bayes’ Theorem to find P(A|B).
36. P(A) = 0.62, P(A′) = 0.38, P(B|A) = 0.41, and P(B|A′) = 0.17
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
EP ELEMENTARY STATISTICS-MYLAB STAT.ACC
- The events A and B are such that P(BIA)= 0.2, P(B|A') = 0.3, P(A|B)= 0.4 and P(A) = p. a) Find the value of p. b) Are A and B independent?arrow_forwardUse Bayes'Theorem to determine P(B|D) P(B|D)= (Round to two decimal places as needed) Event A Event B Event C 2 Event D 8 Event E 17 15 acerarrow_forwardQ.2 Find the probability generating function of :1) P(X=2n) 2) P(Xarrow_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_forwardQ. 15 Give classical (Laplacian, mathematical) definition of probability.arrow_forwardSection 8 8.4 Let f (x1,X2,..x,)E S. Show that o(f)=r.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_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
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman