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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
Related questions
Question
![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
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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
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