If X and Y are independent, then what is the probability of the event Y > 4X?
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A: Given information: Condition given: Gina is pregnant and about to give birth to a twin X:…
Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?
A: Solution-: If P(A) >0, P(B)>0 and P(A∩B)=0, then the events A and B are independent. We find…
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A: Probability is a branch of mathematics or statistics which basically deals with the probability of…
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Q: How does the probability of an event can be determined?
A: The term probability is used widely (usually in statistics theory) as it gives the estimate of the…
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A: It is an application of Binomial distribution .Binomial distribution occurs as a consequence of…
Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…
A: The probability of winning the game is obtained below:From the given information, there are two…
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Q: The probability of two events A and B are 0.25 and 0.5 respectively. Probability of ther…
A: Introduction :
Q: he probabilities that Anita and Evita will not do their homework are 0.3 and 0.2, respectively. The…
A: Given Information: P(Anita will not do her homework) = 0.3 P(Evita will not do her homework) = 0.2…
Q: Two events A and B are having the probabilities P(A)= 0.32, P(B) = 0.5, P(A or B) = 0.61 What is the…
A: Answer: From the given data, A and B are two events with probabilities P(A) = 0.32 P(B) = 0.5 P(A or…
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Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…
A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…
Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?
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Q: If the probability that an event does no occur is 0.3 determine the probability that the event…
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Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?
A: Solution: From the given information, A and B are two independent events and P (A) =0.60.
Q: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?
A: If the event A and B are independent
Q: How do you show that two events are independent?
A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)
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Q: Which pairs of events are independent? P(A)=0.55, P(B)=0.65 p(A&B)=0.35?
A: Two events are said to be independent if PA and B=PA·PB.
Q: When occurrence of one outcome does not cause the probability of occurrence of another subsequent…
A: We have given that, When occurrence of one outcome does not cause the probability of occurrence of…
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Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?
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Q: If probability of an event A is= .3 The probability of an event B= .4 The probability of (A…
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Q: The probabilities of two events A and B are 0.23 and 0.30 respectively. The probability that both…
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Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals
A: Given : P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,
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Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…
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Q: Assume the following probabilities for two events, A and B: P(A) = 0.50, P(B) = 0.70, P(AUB) = 0.85…
A: Answer: - Given Two events A and B: P(A) = 0.50, P(B) = 0.70, and P(A∪B) = 0.85…
Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?
A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…
Q: You roll two dice. What is the probability that one of the numbers is even and the other is odd?
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Q: A disease affects 1 out of every 500 people. If you have the disease, you test positive 90% of the…
A: P( a person affected by the disease) = P(D) = 0.002 P( a person not affected by the disease) = P(ND)…
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Q: In probability, when two events do not influence each other, they are called ?
A: In probability, when two events do not influence each other, they are called ?
Q: I hit two traffic lights on my way to work each morning. Both lights operate independently. The…
A: Let, Ri : i th traffic light is red , i=1, 2Rci : i th traffic light is not red , i=1, 2 P(R1∩R2)…
Q: State why. The probabilities choose one be negative. The sum of the probabilities of the events…
A: Probability of an event is a number between 0 and 1
Q: P(Ac)=? If the probability of event A is 0.53.
A: It is given that, The probability of even A is 0.53. That is , P(A)=0.53
Q: Find the probability of an event E if the odds for E is equal to the odds against
A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…
Q: If event X is impossible, what is the P(X), i.e. the probability of X occurring?
A: Answer : 0
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- Suppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses?For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C, 14 % receive a D, and 8 % receive an F. (1) What probability should be assigned to the event "pass the course"? (2) What probability should be assigned to the event "withdraw or fail the course"?What does it mean for two events to be mutually exclusive?
- Suppose the probability that you will be elected student president is 0.15, and the probability that you will get the student scholarship is 0.55. If the two events are independent, the probability that you will not only become the president but also get the scholarship is: need complete solutionPlease helpEvents A and B are independent events with P(A) = 0.25 and P(B) = 0.35. The probability of the complement of Event B equals
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- Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?What is the relationship between two events if the conditional probability is equal to the "unconditional" probability? That is: if P(A|B) = P(A)?