If the probability of one event has no influence on the probability of the other then the events are said to be: conditionally dependent independent complementary mutually exclusive

Q: 13. When the occurrence of one event has no effect on the probability of the occurrence of another…

A: 13. When the occurrence of one event has no effect on the probability of the occurrence of another…

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

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Q: prove that if an event A is independent, then its probability is either 0 or 1

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Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known…

A: Two events are said to be mutually exclusive events if they cannot occur at the same time. For two…

Q: used car deales finds that in any day, the probability of selling no car is 0.4, one car is 0.2, Two…

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 6 P(X=x) 0.4 0.2 0.15 0.10 0.08…

Q: If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then…

A: Probability is a branch of mathematics which is basically deals with the chances of happening an…

Q: Two local factories, A and B, produce radios. Each radio produced at factory A is defective with…

A: Given: A= produced by A (radio) B= produced by B (radio) d1= defective (first radio) d2= defective…

Q: a) If a random person is selected, what would be the probability that the person is: Pr(Male) =…

A: 1) The table showing the positive test results of COVID-19 with totals is,   Los Angeles Orange…

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

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Q: An enterprising graduate who has been unable to find gainful employment has taken to visiting an…

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Q: Find the following probabilities if A and B are disjoint (mutually exclusive) events, and P(A) =…

A: Given P(A)=0.2 and P(B)=0.3 Both A and B are disjoint (mutually exclusive) events. Disjoint Events:…

Q: A computer-consulting firm presently has bids out on two projects. Let A= [awarded project 1] and B=…

A: Given: PA=0.75, PB=0.35 and PA∩B=0.2.

Q: Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known…

A: Mutually Exclusive events: Events which cannot occurs together are called mutually exclusive events.…

Q: If A and B are two mutually exclusive events with P(a) > O and P(b) > 0 then it implies they are…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: If an event is certain, then its probability is 0. O True O False

A: Solution Answer is  False

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: If A and B are independent events then the conditional probability of A given B is P(B). False O…

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Q: If two events A and B are not disjoint, then the probability of their union

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Q: At the durban beach front it rains on 20% of the days and it is windy on 30% of days. if rain and…

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Q: A survey asks adults to report their marital status. Suppose that in the city which the survey is…

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

Q: Suppose A, B, and C are mutually independent events with non-zero probabilities. Then…

A: It is a fact of statistics . It is very important in modern day world .

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: If a real number x is not a possible value for a random variable x, then it has a probability of…

A: A random variable is a variable that takes numerical values determined by the outcome of a random…

Q: Suppose that event A and Event B are independent events. Which of the following statements is NOT…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: Let A and B are the two events. The union of two events is, PA∪B=PA+PB-PA∩B.............(1)

Q: a) Show that for any three events A, B, and C, the probability that at least one of them occurs is…

A: Given  We need to prove that for three events A,B and C,the probability that atleast one of them…

Q: If two events are mutually exclusive, then they are independent. select one : a. True b. False

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Q: Events are independent if the occurrence of either of them has no effect on the probability of the…

A: Yes,  If the occurrence of one event has no effect on the likelihood of another event, the two…

Q: Of three events, A, B, and C, suppose events A and B are independent and events B and C are mutually…

A: Note : according to our guidelines we can answer only d subpart Given three events, A, B, and C,…

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

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Q: Show that the probability of the union of (non-mutually exclusive) events A and B can be written as…

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Q: If two events are mutually exclusive, why is P(A and B) = 0? Choose the correct answer below. O A.…

A: Here We have  Mutually Exclusive Events: The Events which do not occur at same time. i.e they do not…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Given: p=13 Consider X as the random variable that represents the number of cars that needs oil.…

Q: When two events cannot occur at the same time, they are said to be OA mutually exclusive. OB. not…

A: In this case, we need to find the suitable option for the given statement.

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: For any two events A and B, union of A and B is defined as the occurrence of either A or B or both.…

Q: If two events are independent, then the conditional probability of one event given the other event…

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Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

A: Let , A and B be the two events. We have , P(A)>0 and P(B)>0 i.e. both have positive…

Q: If A and B are independent events. Then A and BC are independent.

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Q: If two events are independent then their compliments are also independent. true False

A: Two events are said to be independent if occurrence of one event does not affect the occurrence of…

Q: equals

A: Probability indicates the chances of occurring an event. Let A and B are two events. A joint…

Q: Determine whether each of the following statements is true or false, and explain why. If two events…

A: Given-  If two events are mutually exclusive, then they are independent. To determine- whether the…

Q: a) A dealer decides to sell an antique automobile by means of an English auction with a reservation…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Events whose probability of their intersection is the product of their individual probabilities and…

A: An event is said to be a complement of the other if the occurrence of one event completely rules out…

Q: determine if the event of pulling out a bear and the event of pulling out a lion was independent,…

A: Alex has a bag of stuffed animals containing nine bears, six lions, and three monkeys. total 18…

Q: 1. Suppose that the events A, B are independent. (a) Using the Law of Total Probability, show that…

A: Result: If A and B are independent then P(A and B)=P(A)P(B)

Q: What is the known probability when two events will both occur, such that the probabilities of the…

A: Here we have given the questions, First one is, What is the known probability when two events will…