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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5327b669-5f3f-4ce9-9237-1991be49e7fb%2Fb1924a46-2d55-4649-a4cd-d2bbadd8d00b%2F47sokqf_processed.jpeg&w=3840&q=75)
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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