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1. Let A and B be two events such that Ac B, then P(AB)= 1,2, 3 Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0 The probability that at least one of the events occur is a. 0.336 b.0.664 c. 0.024 4. A box contains p replace e. None d. 24 e. None

1. Let A and B be two events such that Ac B, then P(AB)= 1,2, 3 Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0 The probability that at least one of the events occur is a. 0.336 b.0.664 c. 0.024 4. A box contains p replace e. None d. 24 e. None

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Let A and B be two events such that ACB, then P(AB)= 1,2,3/Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit. a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0.4. The probability that at least one of the events occur is a. 0.336 c. 0.024 b.0.664 d. 0.976 e. None 4. A box contains 3 red balls and 5 black balls. Balls are drawn randomly one at a time with replacement from the box. The probability that the third red ball is the seventh ball drawn is. a. 0.169 b.0.282 c. 0.179 d. 0.121 e. None 5. A box contains 20 balls, 13 of them are red and the rest are blue. Three balls are drawn randomly without replacement. The probability of getting at least I blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 a. 0.4 b. 0.7 6. The moment generating function of a random variable X M(t) = 0.5 +0.2e +0.2e³ +0.1e³ Then P(-1.5 < X <34)= c. 0.9 d.e-¹ d. 24 c. 28/12 7. If the random variable X has a chi-square distribution with degrees of freedom r, and if E(5X+3)=33, find var (X) b.12 a. 3.46 c. 36 d.6 8. Let X have a negative binomial distribution with r and P=0.6. If the mean of X is 5 then r equal a. 1.8 b. 0.83 c. 3 d.9 e. None 10. The variable X has a uniform distribut = 31/12 6.25/12 c. 0.16 e. None ne that X has an exponential distribution. If Var (4-2)=20. Then E(X) is 220 b.0 c.5 d. 10 e. None 11.1 X is a random variable with moment generating function M (t) = 5 -- 0.0016 b.0.4096 d. 0.0064 e. None e. None e. None e. None c) none Find
Transcribed Image Text:1. Let A and B be two events such that ACB, then P(AB)= 1,2,3/Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct an a. P(A) d.0 b. P(A) c. P(B) 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that the first digit 3 or 6 also you cannot repeat the digit. a. 240 b.48 c. 120 3. If A, B and C are mutually independent events and that P(A) = 0.3, P(B) = 0.2, P(C) = 0.4. The probability that at least one of the events occur is a. 0.336 c. 0.024 b.0.664 d. 0.976 e. None 4. A box contains 3 red balls and 5 black balls. Balls are drawn randomly one at a time with replacement from the box. The probability that the third red ball is the seventh ball drawn is. a. 0.169 b.0.282 c. 0.179 d. 0.121 e. None 5. A box contains 20 balls, 13 of them are red and the rest are blue. Three balls are drawn randomly without replacement. The probability of getting at least I blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 a. 0.4 b. 0.7 6. The moment generating function of a random variable X M(t) = 0.5 +0.2e +0.2e³ +0.1e³ Then P(-1.5 < X <34)= c. 0.9 d.e-¹ d. 24 c. 28/12 7. If the random variable X has a chi-square distribution with degrees of freedom r, and if E(5X+3)=33, find var (X) b.12 a. 3.46 c. 36 d.6 8. Let X have a negative binomial distribution with r and P=0.6. If the mean of X is 5 then r equal a. 1.8 b. 0.83 c. 3 d.9 e. None 10. The variable X has a uniform distribut = 31/12 6.25/12 c. 0.16 e. None ne that X has an exponential distribution. If Var (4-2)=20. Then E(X) is 220 b.0 c.5 d. 10 e. None 11.1 X is a random variable with moment generating function M (t) = 5 -- 0.0016 b.0.4096 d. 0.0064 e. None e. None e. None e. None c) none Find
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