let A and B be two events in an outcome space M such that M = A U B, P (A) = 0.65 and P (B) = 0.75. Calculate the probability that event B occurs, given that event A does not occur?

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: If occurrence and non occurrence of a event does not depend upon the occurrence and non occurrence…

Q: A mechanic can service 1,2,3 or more cars each days with their respective proba- bilities of 0.43,…

A: (b) 0.31 is correct option. given, x = no. of car service / day  1 2 3 more than 3 (x>3) p =…

Q: • Define the conditional probability of A given B for two events A and B. Suppose the events H1,...,…

A: Conditional Probability           For two events A and B, the conditional probability of A given B…

Q: Let A and C be two independent events such that P(A) 0.2 and P(C) 0.3 P(ĀNC) = 0.24 None of other…

A: Given that A and C be two independent events such that P(A) = 0.2 and P(C) = 0.3 .  Than we have to…

Q: If E and F are events in a probability space with IP(E) + 0, P(F) 7 0, and P(E|F) = P(F|E) then E…

A: We want to tell you above statement is true or false

Q: A computer manufacturer uses chips from three sources. Chips from sources A, B, and C are defective…

A: There are three manufacturer of chips A,B and C and the proportions of chips from A,B and C are 0.5…

Q: Show that the conditional probability P (A | B) of events A and B satisfies the three axioms of a…

A: Answer: -From the given data, conditional probability P(A|B) of events A and B.

Q: If E and F are events in a probability space with P(E) + 0, P(F)+ 0, and P(EF) = P(F|E) then E and F…

A: The given statement is false here. We find a counter example to prove that statement is false here.

Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A:

Q: In any given turn while playing a board game, the probability that a player will land on a blue…

A:

Q: Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a…

A:

Q: Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a…

A:

Q: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)=0.5. Find the…

A:

Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A: Given: Let V be the event that a computer contains a virus and Let W be the event that a computer…

Q: The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a…

A: Given that, A1 be the event that the receiver functions properly throughout the warranty period, A₂…

Q: Let A and B be independent events with P(A) " and P(B) =. Find P(AN B) and P(A U B).

A: Given that P(A) = 1/8 P(B) = 1/5

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: Exercise 1. Let A and B be independent events with P(A) = 0.7 and P(B) = 0.2. Compute (a) P(An B),…

A: Given problem Given that

Q: Let A and B be events, each with positive probability. a. State inwords what it means for event B to…

A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…

Q: Let A and B be events such that P(A) = 0.6, P(B) = 0.4, and P(AB) = 0.2. Find the probabilities of:…

A: According to the Bartleby guidelines only three sub-parts of the question can be solved in one time,…

Q: Consider randomly selecting a student at a certain university, and let A denote the event that the…

A: GivenLet A denote the event that the selected individual has a visa cardP(A)=0.5Let B denote the…

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: Let E be the event that a new car requires engine work under warranty and let T be the event that…

A: Given : Let E be the event that a new car requires engine work under warranty and let T be the event…

Q: uestion 16 For any two events A and B to be not independent, P(AN B) = P(A).P(B) True False

A:

Q: Let E and F be two mutually exclusive events and suppose P(E) = 0.5 and P(F) = 0.3. Compute the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Let A, B, and C be independent events such that P[A] = 0.5, P[B] = 0.6, and P[C] = 0.1. Calculate…

A: P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C) P(A) = 0.5 P(A')…

Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A: Given : Let V be the event that a computer contains a virus P(V) = 0.48  Let W be the event that a…

Q: Let A and B be two events such that P(A)=1/7, P(AUB)=1/2, and P(AB)=1/12. Determine P(B)

A: From the provided information, P (A) =1/7 P (A Ս B) = 1/2 And P (AB) = 1/12

Q: (b) When a soldier fires at a target, the probability that he hits the 1 target in - for solider A,…

A:

Q: E be the event that a new car requires engine work under warranty and let T be the event that the…

A:

Q: A concession stand at a movie theater offers soda and popcorn for sale. A survey shows that that 50%…

A: Given that  A=purchase soda B=purchase popcorn  P(A)=50% , P(B)=45% , P(A and B)=25%

Q: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3

Q: If A and B are mutually exclusive events, then prove that P ( A )<P ( B° )

A:

Q: Q 10 A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total…

A: Let ,D=damaged bag U=undamaged bag P(A)=0.70P(B)=0.30P(D/A)=1-0.80=0.20P(D/B)=1-0.85=0.15

Q: Let A, B, be two independent events such that P(A) = P(B) = 0.3 then P(A UBC) =

A: Given that PA=PB=0.3 A and B are independent events. Hence, P(A and B)=P(A)*P(B)=0.3*0.3=0.09

Q: J A and B are independent events, prove that the events A and B,A and B; and A and B are also…

A:

Q: a. Find the probability that the selected individual has a Mastercard or Visa. b. Find the…

A: Given: P(V) =0.65 P(M)=0.43 P(M and V) =0.25

Q: Let A and B be two events such that P(AC) = 0.70, P(B) = 0.50, and P(A U B) = 0.60. What is P(An B)?

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Q: Based on the result, find the probability that the selected student is: a. is male or his blood…

A:

Q: Exercise 24 Let A and B be 2 events : P(A) and P(B') 3 Can A and B be mutually exclusive? Why?

A: It is given that, P(A) =1/3 and P(B') = 1/4. This implies that P(B) =1-1/4 =3/4 We know that the…

Q: Calculate P (A ∩ B) Are events A AND B independent?

A:

Q: Exercise 3 Let A be the event that a randomly selected person's favorite color is red and B the…

A: Intersection of two events is the common elements of those two events and union of two events…

Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A: Given that; P(V)=0.48P(W)=0.20P(V and W)=0.17

Q: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)= 0.5. Find the…

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Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A:

Q: IJ A and B are independent events, prove that the events A and B, A and B; and A and B are also…

A: Answer: For the given data,

Q: Probabilities that customers A, B, and C purchase an item are 0.4, 0.5, and 0.6 correspondingly.…

A: