1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.

Q: Two containers contain different balls. The first container contains 5 red balls, 4 blue balls, and…

A: Given: Container 1 n(red) = 5 n(blue) = 4 n(yellow) = 6 n(total) = 15 Container 2 n(red) = 6 n(blue)…

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Q: Find mean  8,2,3,4,5,6,7,8,9

A: Given data(x), 8,2,3,4,5,6,7,8,9

Q: Given, P(A) = 0.40, P( A and B) = 0.10 and P(A|B) = 0.30 Find P(B)? Round to 2 decimals

A: Answer: From the given data, P(A) = 0.40 P(A and B) = 0.10 P(A|B) = 0.30

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Q: 1. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3…

A: Solution: Given information: Total television sets= 7 Defective television sets=2

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Q: If you select a card at random, what is the probability of getting: a 7 of Diamonds?

A: It is known that Total cards = 52 Number of 7s of diamond = 1

Q: Suppose E(X) = 4 and E[X(X − 1)] = 22.5. (a) What is E(X²)? [Hint: First verify that E[X(X − 1)] =…

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Q: In a roll of 2 dice, what is the probability of getting 3 or 4? A. 5/36 B. 6/36 C. 7/36 D. 8/36

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Q: Find the sample mean for the given data: 8,11,13,5,16,21,9,13,17,5,3,18,16,14,23

A: Answer: Given sample values are, 8,11,13,5,16,21,9,13,17,5,3,18,16,14,23 Sample size (n) = 15

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Q: Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3008 dollars to…

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