Let X be a discrete random variable with the following probability mass function:p(x)=D1D1 + D2 + D3+ D4 + D5D2D1 + D2 + D3 + D4 + D5D3D1 + D2 + D3 + D4 + D5D4D1 + D2 + D3 + D4 + D5D5D1+ D2 + D3+ D4 + D50x = 1b) Find the complete cumulative distribution function Xx=2x = 3x = 4x=5otherwisea) 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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Answered: a) Calculate the probability P(XS 4),…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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