a) Calculate the probability P(XS 4), using the calculated probability mass function. b) Find the complete cumulative distribution function X e) Calculate the probability P(2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let X be a discrete random variable with the following probability mass function:
p(x)=
D1
D1 + D2 + D3+ D4 + D5
D2
D1 + D2 + D3 + D4 + D5
D3
D1 + D2 + D3 + D4 + D5
D4
D1 + D2 + D3 + D4 + D5
D5
D1+ D2 + D3+ D4 + D5
0
x = 1
b) Find the complete cumulative distribution function X
x=2
x = 3
x = 4
x=5
otherwise
a) Calculate the probability P(X ≤ 4), using the calculated probability mass function.
e) Calculate the probability P(2 < X ≤ 4), using the calculated cumulative distribution function.
d) Draw the graph of the cumulative distribution function. What is the shape of the graph?
Transcribed Image Text:Let X be a discrete random variable with the following probability mass function: p(x)= D1 D1 + D2 + D3+ D4 + D5 D2 D1 + D2 + D3 + D4 + D5 D3 D1 + D2 + D3 + D4 + D5 D4 D1 + D2 + D3 + D4 + D5 D5 D1+ D2 + D3+ D4 + D5 0 x = 1 b) Find the complete cumulative distribution function X x=2 x = 3 x = 4 x=5 otherwise a) Calculate the probability P(X ≤ 4), using the calculated probability mass function. e) Calculate the probability P(2 < X ≤ 4), using the calculated cumulative distribution function. d) Draw the graph of the cumulative distribution function. What is the shape of the graph?
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