3. Suppose that the probability density function of X is [3x?, lo, 0 < x< 1 f(x) = otherwise Determine the а. Р(х < 1/3) b. P(1/3 < x < 2/3) с. Р(х 2 2/3)
3. Suppose that the probability density function of X is [3x?, lo, 0 < x< 1 f(x) = otherwise Determine the а. Р(х < 1/3) b. P(1/3 < x < 2/3) с. Р(х 2 2/3)
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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![3. Suppose that the probability density function of X is
0 < x<1
f(x) = *
S3x²,
to,
otherwise
Determine the
a. P(x < 1/3)
b. P(1/3 < x < 2/3)
c. P(x > 2/3)
4. In problem 3 the probability density function of X is
0 <x < 1
otherwise
Determine the cumulative distribution function of X.
f (x) = {3x²,
to,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb780db5-6664-41a6-833e-73bd80d6e35a%2F05dd87e4-a0ae-41b8-973b-e18d6cbb2738%2F7sv4x5h_processed.png&w=3840&q=75)
Transcribed Image Text:3. Suppose that the probability density function of X is
0 < x<1
f(x) = *
S3x²,
to,
otherwise
Determine the
a. P(x < 1/3)
b. P(1/3 < x < 2/3)
c. P(x > 2/3)
4. In problem 3 the probability density function of X is
0 <x < 1
otherwise
Determine the cumulative distribution function of X.
f (x) = {3x²,
to,
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