(a) Two dice are rolled. Define the random variable X as the sum of the two dice. List the outcomes contained in the event {X = 8}. Write each outcome as an ordered pair, and list the ordered pairs separated by commas. For example, {X = 4} = (1, 3), (2, 2), (3, 1) {X = 8} : (b) Find the probability of the event {X = 8}. Enter your answer as either a fraction or a decimal. %3D P(X = 8) =

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Q: (P(A) = 0.80, P(B ) = 0.70, P(A&B)= 0.56 Which pair of events are independent?

A: The given probabilities are PA=0.80,PB=0.70,PA&B=0.56.

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A: Independent events are events that do not affect the outcome of subsequent events.

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A:

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: Which pair of events are independent? P(A)=0.55, P(B) =0.65 or p(A&B) = 0.35?

A: We have given- P(A) = 0.55 P(B) = 0.65 P(A & B) = 0.35 We have to find weather it is an…

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A: For the given data

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A:

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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)

Q: Q1: Box 1 contains 1000 bulbs of which 10% are defective. Box 2 contains 2000 bulbs of which 5% are…

A: Box 1 contains 1000 bulbs of which 10% are defective.Box 2 contains 2000 bulbs of which 5% are…

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.

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A: Answer: From the given data, P(A) = 0.27 P(B) = 0.32 P(A or B) = 0.45

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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 ?

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A: INTRODUCTION :  Definition :  Probability: If an experiment results in any one of exhaustive,…

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A: Solution

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