Suppose that random variable X has a Chi-Square distribution with k = 10 degrees of freedom (X-X). Use the x² Table to find a) a xos such that Pr(X ≤ xos) = 0.05, b) a such that Pr(XX9)=0.95, c) a X0.975 and 0.025 such that Pr(X0025 XX0.975)=. Xoos = X9.95 X0.025 = X0.975 =
Suppose that random variable X has a Chi-Square distribution with k = 10 degrees of freedom (X-X). Use the x² Table to find a) a xos such that Pr(X ≤ xos) = 0.05, b) a such that Pr(XX9)=0.95, c) a X0.975 and 0.025 such that Pr(X0025 XX0.975)=. Xoos = X9.95 X0.025 = X0.975 =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Suppose that random variable X has a Chi-Square distribution with k =10
degrees of freedom ( 2 X k χ ). Use the 2 χ Table to find
a) a 2 χ0.05 such that 2 2 Pr( ) 0.05, _________ X ≤= = χ χ 0.05 0.05
b) a 2 χ0.95 such that 2 2 Pr( ) 0.95, _________ X ≤= = χ χ 0.95 0.95
c) a 2 χ0.975 and 2 χ0.025 such that
2 2 2 2 Pr( 0.025 0.975 0.025 0.975 χχ χ χ ≤≤ = X ) _____, _________, ________
![Suppose that random variable X has a Chi-Square distribution with k = 10
degrees of freedom (X-X). Use the x² Table to find
a) a xos such that Pr(X ≤ xos) = 0.05,
b) a such that Pr(XX9)=0.95,
c) a X0.975 and 0.025 such that
Pr(X0025 XX0.975)=.
Xoos =
X9.95
X0.025
=
X0.975
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c97b77c-46c2-4d45-b33a-09d446f9742f%2F0b30f768-573f-4dd2-8b83-381fb6746be1%2Fj537vf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that random variable X has a Chi-Square distribution with k = 10
degrees of freedom (X-X). Use the x² Table to find
a) a xos such that Pr(X ≤ xos) = 0.05,
b) a such that Pr(XX9)=0.95,
c) a X0.975 and 0.025 such that
Pr(X0025 XX0.975)=.
Xoos =
X9.95
X0.025
=
X0.975
=
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