Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0, otherwise. Determine the value of c. Find the cdf of X, i.e. F(t) = P(X ≤t) for all real t. Draw a graph of cdf of X. Find the population mean and the variance of X.
Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0, otherwise. Determine the value of c. Find the cdf of X, i.e. F(t) = P(X ≤t) for all real t. Draw a graph of cdf of X. Find the population mean and the variance of X.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider a discrete random variable X with a pmf given by
i)
ii)
iii)
iv)
p(x) =
(ex², if x = 1,2,3,4
0, otherwise.
Determine the value of c.
Find the cdf of X, i.e. F(t) = P(X ≤ t) for all real t.
Draw a graph of cdf of X.
Find the population mean and the variance of X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cf29de1-e3f4-4dce-af3b-387ce3b73ca3%2F0e776500-e03b-4e73-938b-2acf81c62460%2Fxp089he_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a discrete random variable X with a pmf given by
i)
ii)
iii)
iv)
p(x) =
(ex², if x = 1,2,3,4
0, otherwise.
Determine the value of c.
Find the cdf of X, i.e. F(t) = P(X ≤ t) for all real t.
Draw a graph of cdf of X.
Find the population mean and the variance of X.
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