Choose UTE Com ) Let X.XX, be a random sample from n(u,100). If P(u-5
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Tollowing: (Note: Ans
I) Let Xj. X2X, be a random sample from n(u,100). If P(u-5<X<u+5) 0.9042, then
the value of n is:
a) 5.
b) 10.
c) 9.
d) 100.
2) Let X, X, be two independent random variables such that X,- n(0,1), X,-z (n). The
distribution of Y X/
is:
a) t(1)
b) F(n,1)
c) z')
d) F(1,n)
3) If X,X3X and Y, Y,Y6 are two random samples that distributed n(0,4), n(0,25)
respectively, then the distribution of 2X-F is:
a) n(0,2.05)
b) n(0,7.85)
c) n(0,1.88)
d) n(0,1.64)
4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is
a) 0.718.
b) 1.9429.
c) 1.8948.
d) 2.4469.
5) Let X be a r.v. from standard normal distribution n(0,1). If Y = X + X+ x3, then the
distribution of Y is:
a) n(2,4)
b) z3)
c) n(0,4)
d) z'(9)
6) Let X, X, be rwo independent random variables from probability function that defined as
fallows:
x= 1,2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b116931-898b-427c-b440-446fed451a0e%2F4f192675-0044-46e9-b4e6-4f0a2be9c57b%2Fjrvaxtk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Oose the correct answ
Tollowing: (Note: Ans
I) Let Xj. X2X, be a random sample from n(u,100). If P(u-5<X<u+5) 0.9042, then
the value of n is:
a) 5.
b) 10.
c) 9.
d) 100.
2) Let X, X, be two independent random variables such that X,- n(0,1), X,-z (n). The
distribution of Y X/
is:
a) t(1)
b) F(n,1)
c) z')
d) F(1,n)
3) If X,X3X and Y, Y,Y6 are two random samples that distributed n(0,4), n(0,25)
respectively, then the distribution of 2X-F is:
a) n(0,2.05)
b) n(0,7.85)
c) n(0,1.88)
d) n(0,1.64)
4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is
a) 0.718.
b) 1.9429.
c) 1.8948.
d) 2.4469.
5) Let X be a r.v. from standard normal distribution n(0,1). If Y = X + X+ x3, then the
distribution of Y is:
a) n(2,4)
b) z3)
c) n(0,4)
d) z'(9)
6) Let X, X, be rwo independent random variables from probability function that defined as
fallows:
x= 1,2
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