a. 240 or 6 also you cannot repeat the digit -digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that b.48 c. 120 d. 24 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 b.0.664 c. 0.024 d. 0.976 4. A box contains 3 red balls and 5 black balls. Balls and replacement from the box. The nmbul I e. None e. None
a. 240 or 6 also you cannot repeat the digit -digit numbers can be formed from the digits 1,2,3,4,5,6,7 such that b.48 c. 120 d. 24 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 b.0.664 c. 0.024 d. 0.976 4. A box contains 3 red balls and 5 black balls. Balls and replacement from the box. The nmbul I e. None 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...
Related questions
Question
pleaseeeee solve question 3, quickly please
Transcribed Image Text: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
P(A)
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
b.0.664
c. 0.024
a. 0.4
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) 0521
b. 0.7
c. 0.9
6. The moment generating function of a random variable X M(t) = 0.5 +0.2e+0.2e³ +0.1e³t
Then P(-1.5<X<3.4)=
d. e-1
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. 24
c. 36
d. 0.976
d. 6
ve that X has an exponential distribution. If Var (4-4-
20
b.0
0.5
e. None
e. None
8. Let X have a negative binomial distribution with rand P=0.6. If the mean of X is 5 then requal
b. 0.83
a. 1.8
c. 3
d.9
e. None
=20
e) none
e. None
e. None
Expert Solution
Step 1
It is given that
P(A) = 0.3 then P(A') = 1 - 0.3 = 0.7
P(B) = 0.2 then P(B') = 1 - 0.2 = 0.8
P(C) = 0.4 then P(C') = 1 - 0.4 = 0.6
Step by step
Solved in 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON