6. Suppose that a discrete random variable X takes all positive integer values {1, 2, 3, 4, …}, with cumulative distribution function (cdf) given by the formula Fx(k) = 1 - ; (a) What is the probability that 2 ≤ X ≤ 4? (b) What is the probability that X ≥ 3? (c) Find a formula for the probability mass function Px(k). 1 3k
6. Suppose that a discrete random variable X takes all positive integer values {1, 2, 3, 4, …}, with cumulative distribution function (cdf) given by the formula Fx(k) = 1 - ; (a) What is the probability that 2 ≤ X ≤ 4? (b) What is the probability that X ≥ 3? (c) Find a formula for the probability mass function Px(k). 1 3k
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Please I find it difficult understanding this homework problem. Can you help me solve this? Please kindly explain into detials for me to understand. Thank you!
Transcribed Image Text:6. Suppose that a discrete random variable X takes all positive integer values (1, 2, 3, 4, ...},
with cumulative distribution function (cdf) given by the formula
Fx(k) = 1
1
3k
(a) What is the probability that 2 ≤ X ≤ 4?
(b) What is the probability that X ≥ 3?
(c) Find a formula for the probability mass function Px(k).
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