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A and B be two events such that 4c 8, then P(408)- This question consists of 11 paragraphs. In each part, circle the correct answer. a. P(A) b. P(4) c. P(B) d. 0 How many different fournit e. None

A and B be two events such that 4c 8, then P(408)- This question consists of 11 paragraphs. In each part, circle the correct answer. a. P(A) b. P(4) c. P(B) d. 0 How many different fournit e. None

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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LO1,2, 31Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct answer. 1. Let A and B be two events such that Ac B, then P(4B)= a. P(A) b. P(4) c. P(B) d. 0 e. None 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 e. None 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 b.0.664 a. 0.336 e. 0.024 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 1 blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 6. The moment generating function of a random variable X M(t) = 0.5 +0.2e-t +0.2e³t+ 0.1est Then P(-1.5< X <3.4)- c. 0.9 a. 0.4 b. 0.7 d. e-l 7. If the random variable X has a chi-square distribution with degrees of freedom r, and if E(SX+3)-33, find var (X) a. 3.46 b.12 d. 6 e. None 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 e. None c. 3 d. 9 c. 36 e) none e. None 9 Assume that X has an exponential distribution. If Var (4-)=20. Then E(X) is a. 20 b.0 c.5 d. 10 e. None c. 0.16 10. The variable X has a uniform distribution on the interval (-2,3) then E(X)= a 31/12 b.25/12 c. 28/12 d. 24/12 e. None 11. If X is a random variable with moment generating function M (1) = 5(4+ e')* Find P(X = 0) = a. 0.0016 b.0.4096 d. 0.0064 e. None
Transcribed Image Text:LO1,2, 31Q1. (22 points)] This question consists of 11 paragraphs. In each part, circle the correct answer. 1. Let A and B be two events such that Ac B, then P(4B)= a. P(A) b. P(4) c. P(B) d. 0 e. None 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 e. None 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 b.0.664 a. 0.336 e. 0.024 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 1 blue ball is. a) 0.749 b) 0.251 c) 0.479 d) 0.521 6. The moment generating function of a random variable X M(t) = 0.5 +0.2e-t +0.2e³t+ 0.1est Then P(-1.5< X <3.4)- c. 0.9 a. 0.4 b. 0.7 d. e-l 7. If the random variable X has a chi-square distribution with degrees of freedom r, and if E(SX+3)-33, find var (X) a. 3.46 b.12 d. 6 e. None 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 e. None c. 3 d. 9 c. 36 e) none e. None 9 Assume that X has an exponential distribution. If Var (4-)=20. Then E(X) is a. 20 b.0 c.5 d. 10 e. None c. 0.16 10. The variable X has a uniform distribution on the interval (-2,3) then E(X)= a 31/12 b.25/12 c. 28/12 d. 24/12 e. None 11. If X is a random variable with moment generating function M (1) = 5(4+ e')* Find P(X = 0) = a. 0.0016 b.0.4096 d. 0.0064 e. None
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