Problem 1. Suppose you roll a fair 20-sided die. Are the following events independent? (a) E₁ is the event that the result of the die roll is even. E₂ is the event that the result of the die roll is less than or equal to 6. (b) E₁ is the event that the result of the die roll is even. E₂ is the event that the result of the die roll is divisible by 4. (c) E₁ is the event that the result of the die roll is divisible by 4. E₂ is the event that the result of the die roll is divisible by 6. (d) E₁ is the event that the result of the die roll is divisible by 4. E₂ is the event that the result of the die roll is divisible by 5.

Q: If A denotes some event, what does A denote? If P(A) = 0.992, what is the value of P(A)? What does A…

A: Solution: Let A be the some event.  P( A)= 0.992

Q: 9. A bag contains nine colored balls. Two balls are red, three balls are blue and four balls are…

A: Given:   n(total balls) = 9 n(red) = 2 n(blue) = 3 n(green) = 4 n (drawn) = 2

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

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Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

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Q: Ann is a sales manager at a company and she works from 8 a.m to 4 p.m. with a 1-hour lunch break.…

A: The probability of any event is calculated as the ratio of number of ways for favorable outcomes to…

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

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Q: An urn contains 3 red and 5 blue balls. Two balls are selected at random, one after the other,…

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Q: Which

A: Simple events are those events which are mostly independent events.

Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

Q: 3.if A and B are two events such that P(AUB) = P(ANB) = and P(A) = 3, then P (B) is equal to a. 1/3…

A: The question is about probability.Given probabilities are as follows :

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: Percentage of dividend income:   % 2. Number of shares:     3. Amount of income: $

A:

Q: The events A and B are mutually exclusive. If P( OA. 0 OB. 0.8 ? 01

A: If A and B are two mutually exclusive events with P(A) = 0.2 and P(B) = 0.6Then, P(A or B) = ?

Q: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

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Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

A:

Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: OA. 0.12 B. 0.4 C. 0.8 O D.0

A: For two events, A and B, The general formula for probability is as: P(A or B)=P(A)+P(B)-P(A∩B). If…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: 2. Let E, F, and G be three events. Find the expressions for the events described below: (a) Only F…

A: Three eventsE F, and G then write the expression for the events  a): only F occur  b): both E and F…

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A: The objective of this question is to find the probability that a randomly chosen integer between 1…

Q: Suppose the probability that a person picked at random has lung cancer is 0.035 and the probability…

A:

Q: P(AB)=P(BC)=0, P(AC)=1/8. TH O A.1/2 O B.5/8

A: The formula of P(AUBUC) is shown as follows: P(AUBUC)=P(A)+P(B)+P(C)-P(AB)-P(BC)-P(AC)+P(A∩B∩C) We…

Q: (d) Given that the wafer is from Lot C, what is the probability that it is nonconforming? (e) Given…

A: Probability: The likelihood of random events whose occurrence is not defined is evaluated by using…

Q: If two events A and B with P(A) = 0.51, P(B) = 0.28 and P(A or B) = 0.79 then, A and B are

A: GivenP(A)=0.51P(B)=0.28P(A or B)=0.79

Q: 3. You are in a game show in which you're asked a sequence of true/false questions. If you answer…

A: 3) Let Ei denotes the event that you answer the ith question correctly, i=1,2,3,.... Given that you…

Q: . A traditional fair die is thrown twice. What is the probability that: a) a six turns up exactly…

A: Given that  A fair die is thrown twice  Sample space = S S = {…

Q: At a local college, four sections of economics are taught during the day and two sections are taught…

A: At a local college, four sections of economics are taught during the day and two sections are taught…