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Question 1: Discrete random variables DI 59 D2 D3 D4 D5 920 p(x) = Let X be a discrete random variable with the following probability mass function: 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. c) 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?

Question 1: Discrete random variables DI 59 D2 D3 D4 D5 920 p(x) = Let X be a discrete random variable with the following probability mass function: 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. c) 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?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 84CR
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DI p(x) = D2 D3 D4 D5 20 599 Question 1: Discrete random variables Let X be a discrete random variable with the following probability mass function: 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. c) 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:DI p(x) = D2 D3 D4 D5 20 599 Question 1: Discrete random variables Let X be a discrete random variable with the following probability mass function: 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. c) 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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