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

Q: In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily…

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Q: Let A be the event that your hole cards are AK, and let B be the event that your hole cards are both…

A: P(A) =P(event of holding ace and king) = 452×452=162704 P(B) = P(event of holding are red ) = 2352

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Let R be the event that a ball drawn is red, B for blue  G for green

Q: Let F denote the event that the respondent is female and A denote the event that the respondent uses…

A: Solution: From the given information, F denotes the event the respondent is female and A be event…

Q: 21 Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A: We will answer only one question at a time. Please resubmit the other questions specifying which one…

Q: Q1: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…

A: Given that there are total 20 fuses, among them 5 are defective.  So (20-5)=15 are good.   We can…

Q: Let of a loss due to damsge of insueed house and X be the payment by the insurance company. define…

A: Let Y: loss due to damage of insured house. Let X: Payment by insurance company.

Q: If event D is the presence of a disease and T is the event that test result is positive, then…

A: The probability of patients who test negative given they do not have disease is called Specificity.…

Q: Events A and B are independent. Suppose event A occurs with probability 0.41 and event B occurs with…

A: Given that P(A)=0.41 and P(B)=0.22 a. The probability that both A and B occur if event A or B occurs…

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: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

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Q: Are events Q and S independent events?

A: ALASKA INVESTMENT CORP has decided to choose two of a group of three utility stocks. Suppose we…

Q: Prove that a pair of events A and B cannot be simultaneously mutually exclusive and independent. In…

A: 1] The probability of success being p for each experiment. 2]  the experiments in different rooms…

Q: ALASKA INVESTMENT CORP has decided to choose two of a group of three utility stocks. Suppose we…

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Q: Smoking excessively and having lung cancer are.. O A. independent events. O B. not known. O C.…

A: An event is a subset of the sample space. Sample space consist the set of all possible outcomes and…

Q: (c) State an event which is (i) complementary with G; (ii) mutually exclusive with M.

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: In a production process defectiveness rate is 0,6 and we assume that inspections are independent.…

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Q: The probability of the occurrence of event A in an experiment is 1/2. If the experiment is performed…

A: Explanation:here given the 1/2 experiment asked the two times event did not occur  What is the third…

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: v) Probability that a woman now aged 20, married.a man of aged 30, will survive after 30 years, but…

A: Given :  Probability that a woman now aged 20,married a man of aged 30,Survive after 30 years.But by…

Q: Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

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Q: A probability of 0 means that an event cannot occur. O True O False

A: Given statement, A probability of 0 means event can not occur.

Q: 48. A and Barc independent events such that P(4) =- and P(A U B) = . P(}) = 3 D HIN 13

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Q: A-) What is the probability that we observe exactly 29 alcoholics with cirrhosis of the liver who…

A: A) Obtain the probability that one observes exactly 29 alcoholics with cirrhosis of the liver who…

Q: Q and R are independent events. P(Q) = 0.4 and P(R) = 0.23. Assuming that find events A and B arise…

A: From the given information, Q and R are independent events. That is, P (Q) =0.4,  P (R) =0.23 Since,…

Q: Let A and B be 2 events such that P(A)= 0.3 and P(B) = 0.4 and P(A U B) = 0.6. Then the value of P(B…

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Q: When does the union of two events occur? A. Both event A and event B occur B. Either event A or…

A: We have to determine the union of the two events. Note : Since you have asked multiple questions, we…

Q: A box contains 100 items, of which 4 are defective. Let X be the number of defective items found in…

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Q: Consider the drivers who are suspected of driving under the influence of alcohol. Police use two…

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Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&amp;B).

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Q: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A or B) = %3D %3D

A: Given data,P(A)=0.4P(B)=0.6P(A or B)=?

Q: involving independent and disjoint events. For this problem, assume that Pr[A∪B]=0.75Pr[A∪B]=0.75…

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Q: Select all of the events that would be considered to be mutually exclusive events. O male and female…

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

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Q: I toss a fair die twice, and obtain two numbers X and Y. Let A be the event that X=2, B be the event…

A: A fair dice have 6 faces 1, 2, 3, 4, 5 and 6 and let X and Y be the two numbers obtained in a toss.

Q: 48. Can two events A and B be independent of one another and disjoint? Explain what conditions are…

A: Independent event: Events A and B said to independent if they both are unrelated to each other.…

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: a) Prove the De Morgan's rule for events A and B using Venn diagram

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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: Classify the events as independent or not independent. Events A and B where P(A) = 0.6, P(B) = 0.9,…

A: Events A and B where P(A) = 0.6, P(B) = 0.9, and P(A and B) = 0.54

Q: The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a…

A: Comments: As per our guidelines we are supposed to answer only three subparts. Kindly repost other…

Q: Ql: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Classify the events as dependent or independent. Events A and B where P(A)=0.7, P(B)=0.4, and P(A…

A: Solution: From the given information,

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: 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: Let A be the event that the selected person will vote for Republican party; B be the event that the…

A: From the given information, there are totally 1000 voters are considered in which 280 are males who…

Q: Select all of the events that would be considered to be mutually exclusive events. O banana and…

A: Solution-: Select all of the given events that would be considered to be mutually exclusive events.…

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.2, P(B) = 0.1, and…

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