If P(E∩F)=0.035, P(E|F)=0.14, and P(F|E)=0.2, then (a)   P(E)= (b)   P(F)= (c)   P(E∪F)= (d) Are the events E and F independent?  Enter yes or no .

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: Find: (a) P(R3 I Q)  (b) P(R1' I Q)

A: It is given that P(R1) = 0.15, P(R2) = 0.55, P(R3)= 0.30, P(Q I R1) = 0.40, P(Q I R2)= 0.20, P(Q I…

Q: Olivia is contemplating buying a laser printer. The probability that she will buy a printer…

A: Given data is : Probability that she she will buy a printer manufactured by Epson  PE=0.21…

Q: If P(En F). 0.08, ΡΕF) 0.32, and PFE) : 0.8, then %3D (a) P(E) = (b) Р(F) — (c) P(EU F) =

A: We have given that  P(E and F) = 0.08, P(E/F) = 0.32 and P(F/E) = 0.8

Q: Given events J and K: P(J) = 0.22; P(k) = 0.38; P (J or K) = 0.42 Find P(J AND K) find the…

A: P(A) +P(Ac) = 1

Q: 47. Suppose A and B are two events with P(A) = 0.36, P(B) = 0.48, and the P(A or B) = 0.60. (a) Find…

A:

Q: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

Q: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

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: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

A:

Q: Sarah has two tests at school next week, a math test and a physics test. Let A represent the event…

A: According to the provided information, P(A)=0.30 and P(A AND B)=0.21,

Q: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually…

A: Given that, A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag.…

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: U and V are mutually exclusive events. P(U)=0.15 ; P(V)=0.49 Find P(U orV) =

A: Two events U and V are said to be mutually exclusive events when both cannot occur at the same time.

Q: Let A  and B be two events such that P (A) = 0.46 and P (B) = 0.07 (a) Determine P (A ∪ B), given…

A: Given: A and B be two events such that P (A) = 0.46   P (B) = 0.07

Q: The addition Rule: P(A or B) = P(A) + P(B) - P(A and B) A useful formula: P(A and B) = P(A)*P(B)…

A: It is given that, P(A or B) = 0.253, P(A) = 0.208 and P(A and B) = 0.509.

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: Finite: If A and B are events such that P(A)=0.5 and ​P(A∪​B)=0.9​, find​ P(B) when ​(a) A and B…

A: Given that, Let A and B are events such that P(A)=0.5 and ​P(A∪​B)=0.9

Q: Determine if events [A] and [B] are independe P(A) - P(B)- 3 P(A and B) 10 3 25 Answer: 1 P(A and B)…

A: if events [A] and [b] are independentP(A and B)=P(A).P(B)

Q: Determine if events A and B are independent. P(A) = 0.45 P(B) = 0.5 P(A|B) = 0.36 P(A) = 0.55 P(B) =…

A:

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: How long a basketball player is on the court depends on whether the player begins a match as a…

A: a. Given the member is starting member we have to find the probability that themember is assigned to…

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: You and I play the following game: I toss a coin repeatedly. The coin is not necessarily fair and…

A: The provided information is as follows:The given coin is not necessarily fair.The probability of…

Q: P(A) = 0.4 and P(B) = 0.5. Complete parts (a) through (d). Suppose that events A and B are disjoint,…

A: According to the given information in this questionThere are more than three subparts according to…

Q: Given that P(A)P(A) = 0.62, P(B)P(B) = 0.27, and P(A∣B)P(A∣B) = 0.22, find the probabilities:…

A:

Q: In example,  A and B are two independent events with P (A) = 0.50 and P (B) = 0.20. Count it for  P…

A: P(A) and P(B) = P(A x B) Thus P(A×B)=0.50×0.20=0.1

Q: U and V are mutually exclusive events. P(U)=0.55 ; P(V)=0.32 Find P(U AND V) =

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.