Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math class and a science class while G ∪ H = taking either a math class or a science class. Suppose P(G) = 0.34, P(H) = 0.32, and P(G ∪ H) = 0.53. What is P(G|H) ?

Q: If events A and B are independent, P(B)-05 and P(A-B)-03, then P(B-A)-

A: The following information has been provided: PB=0.5 PA-B=0.3 We have given that A and B are…

Q: A student goes to the library. Let events B= the student checks out a book and D= the student checks…

A: Note:Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: Suppose A = = the event that you get 8 hours of sleep, and B = the event that you exercis If P(A) =…

A: We have given that  P(A) = 0.26 P(B) = 0.37 P(AB) = P( A and B ) = 0.11   Conditional probability…

Q: The table shows the number of one doctor's patients who caught a cold one week and whether or not…

A:

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed. Ho:= 49…

A: According to the given information, we have Null and alternative hypothesis are given. Null…

Q: By rewriting the formula for the multiplication rule, you can write a formula for finding…

A: From the provided information, The probability that an airplane flight departs on time is 0.91. The…

Q: Find the probability of selecting 9 or more girls. 00.122 00.435 00.212 O 0.001

A: Given that  The probabilities corresponding to the 14 possible values of x are summarized in the…

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: In a very large shipment of electronic devices, 5% are defective. Let X represent the number of…

A: The objective of the question is to find the probability that more than 2 devices are defective in a…

Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

A:

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: 117.If A and B are independent events such that P(B) = P(AUB) = 0.8 then P(A) is

A:

Q: Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed. Ho:=35 H:p…

A: We have given that,  H0 : μ = 35  versus H1 : μ ≠ 35 We have to check the alternative hypothesis is…

Q: uppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: We have, N= 7+5 =12 n1= 7 = the number of green cards n2= 5 = the number of yellow cards The two…

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: Suppose that you would like to decrease the probability that you win the game where you propose the…

A: In this question, we are presented with a game where we need to propose a specific number of red and…

Q: The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given…

A: Given that P(A)=0.35, P(B) = 0.22, P(C)=0.18 P(A and B) 0.11, P(A and C)=0.03, P(B and C)=0.08 , P(A…

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: Let A and B be two events and assume P(A) = 0.35 and P(B) = 0.45. Assume further that P (A|B) =…

A: P(A) = 0.35 P(B) = 0.45 P(A |B) = 0.80

Q: Photos and videos have become an important part of the online social experience, with more than half…

A: P(A) =0.52P(B) = 0.26P(A or B) = 0.54

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…