Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).
Q: Events A and B are mutually exclusive with PA equal to 0.362 and PA or B equal to 0.685 Find the…
A: A and B are mutually exclusive if
Q: Probabilities that customers A, B, and C purchase an item are 0.7, 0.6, and 0.1 correspondingly.…
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Q: 3. A and B are two events such that P(A) =, P(A|B)= and P(A|B')=;. %3D Show that P(AOB) : 64
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Q: Example 2e: Find the probability that in tossing a fair coin three times there will appear (a) 3…
A: A random variable x will follow the binomial distribution if there are total n number of fixed…
Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?
A: Independent events : The event A and event B are independent if , P( A∩B ) = P( A )×P( B )
Q: Q3: If The probability of rain falling 1 point on any day in November is 20% find the probability of…
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Q: Events A and B are mutually exclusive with P(A)=0.3 and P(B)=0.2. The probability of the complement…
A: Given,P(A)=0.3P(B)=0.2and A,B are mutually exclusive events.
Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).
A: The formula for dependent event P (A and B) is given below:
Q: Suppose that fish inhabiting the river in the town of Glenmeadow have a 30% rate of parasite…
A: As given, The fish inhabiting the river in the town of Glenmeadow has a 30% rate of parasite…
Q: 1a) Let E be the event that a corn crop has an infestation of earworms, and let B be the event that…
A: a) Given Let E be the event that a corn crop has an infestation of earworms, and let B be the event…
Q: 1. Candidates X, Y, and Z are running in an election. There will be no ties. Ahead of the election,…
A: To calculate the probability that candidate X wins.
Q: Is Event B dependent or independent of Event A? A: A mosquito lands on your arm. B: You get a…
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Q: Situation: An Internet café has 20 personal computers (PC), but eight of these have unlicensed…
A: Solution
Q: TION 5. A bakery employs 3 bakers who all make brownies. Aunt Jemima makes 25% of the brownies,…
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Q: Hello. I appreciate any help. Thanks.
A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…
Q: Q2. Two events A and B are said to be dependent if and only if:
A: Here use basic of dependent events
Q: Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a…
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Q: erizon conducted a consumer satisfaction survey regarding how happy people are with their cell…
A: Let A denote the event that the people are iPhone user, then Ac denote the event that the people are…
Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?
A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…
Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…
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Q: As a student drives to school, he encounters a traffic signal. This traffic signal stays green for…
A: Given traffic signal stays green for 35 seconds yellow for 5 seconds red for 60 seconds Find the…
Q: E1 and E2 are events from some sample space S, and P(E1) = 0.37, P(E2) = 0.45, and P(E1 ∩ E2) =…
A: (a) From the given information, P(E1) = 0.37, P(E2) = 0.45 and P( E1 ∩ E2) = 0.14. The…
Q: T roll a fair die twice and obtain two numbers X1 = result of the first roll and X2 = result of the…
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Q: Consider the notation: P(E∣F)P(E∣F) Which event do we have knowledge of having already occurred?
A: The conditional probability is as below: PA|B=PA∩BPB
Q: manufacturer claims that a customer has a 25% chance of noticing lowquality of the cords it makes…
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Q: 28) The probability of an event not happening is . This statement means that the event would be…
A: The probability of an event not happening is 23. Then the probability of that event happening is…
Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.33 and event B…
A: (a) Here, the event A and the event B are mutually exclusive. Hence, PA∩B=0. The DeMorgan's law is,…
Q: Events A and B are independent, with P(A) = 0.16 and P(A and B) = 0.08. What is the value of P(B)?
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Q: (b) When a soldier fires at a target, the probability that he hits the 1 target in - for solider A,…
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Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?
A: It is given that, P(A)=0.5, P(A and B)=0.4.
Q: The E be the event that a new car requires engine work under warranty and let T be the event that…
A: Probability: If random experiment results in n mutually exclusive and equally likely outcomes; out…
Q: 4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the…
A: Disjoint events: For disjoint events, there is no element in common. Two events A and B are said to…
Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&B).
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Q: Fiven Pr[E] =.25 and Pr(E u F) = .55, determine Pr[F]. (if the events are independent.
A: Given dataPr(E) = 0.25Pr (E u F) = 0.55If the events are independent
Q: 3. On any day, the probability that Huixian will miss her bus is Find the probabiley ty ) she will…
A: Probability that Huixian will miss her busis 1/7 i) Probability that she will catch the bus on a…
Q: A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?
A: If A and B are two independent events then:
Q: if a and b are two events with p(a)=0.5 and p(a and b)=0.1, then P(BIA)=
A: Assume, A and B be any two events, P(A) denotes the probability of happening of event A and P(B)…
Q: Let A and B be two events such that P (A ∪ B) = 0.6 and P (A ∪ Bc ) = 0.8 Find P (A).
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Q: A and B be events with P(A) = 0.6, P(B) =0.7, and P(B|A) = 0.5. Find P(A and B). P(A and B) = |
A: We have to find p(A and B)= ?
Q: 48. Can two events A andB be independent of one another and disjoint? Explain what conditions are…
A: Let A and B two events. A and B are said to be disjoint if PA∩B=0. A and B are independent if…
Q: Two shopkeepers run their business at Nagoya. Shop K sells fish soup, and Shop N sells Sushi. They…
A: From the given information, There are two shopkeepers. Shop K sells fish soup and Shop N sells…
Q: Edna is fouled hard in an exciting basketball game. It is ruled a flagrant foul, and the opponent is…
A: probability mass function of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-kwhere k = number…
Q: (a) Show that P(0 < X < 1) = 1. (b) Find the probability that more than 1/4 but fewer than 1/2 of…
A: a)
Q: At a popular holiday destination, of the people are tourists. You randomly select two people from…
A: Let p be the probability of being tourist. Given that p = 1/4 = 0.25 Let X denote the number of…
Q: AUB is the event that occurs if ..... .A A occurs and B occurs .B A occurs or B occurs (or both)
A: Given : Let A and B be the two event A∪B : It is the union of A and B It means that occur event A…
Q: Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2.…
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Q: Probabilities that customers A, B, and C purchase an item are 0.4, 0.5, and 0.6 correspondingly.…
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Q: The two events E and F are independent with P(E) = 0.25 and P(F) = 0.35. Find P(E ∪ F).
A: GivenE and F are independentP(E)=0.25P(F)=0.35
Q: A3. Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting…
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- Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops on red” and “spinner B stops on yellow” independent? (b) Find the probability that spinner A stop on red and spinner B stops on yellow.Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?
- (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.If the spinner shown below is spun, find the probability of each event. Assume that the spinner never stops on a line. The spinner stops on orange.