a) The distribution (CDF) of a discrete random variable is shown in the figure below.Fx(x)9990298437.89648.63281(not to scale)237324810i) Find the probability Pr(25X56).ii) Calculate the expected value of X E[X].iii) Sketch the corresponding probability mass function PMF.b) The time a data packet requires to arrives to its target destination is an exponential random with amean of 3 milliseconds. What is the probability that this packet is received in less than 3 milliseconds?

Note: Questions 'a' and 'b' are different questions. As per answering guidelines I have to answer…

b) The time a data packet requires to arrives to its target destination is an exponential random with a mean of 3 milliseconds. What is the probability that this packet is received in less than 3 milliseconds?

b) The time a data packet requires to arrives to its target destination is an exponential random with a mean of 3 milliseconds. What is the probability that this packet is received in less than 3 milliseconds?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

a) The distribution (CDF) of a discrete random variable is shown in the figure below.
Fx(x)
99902
98437
.89648
.63281
(not to scale)
2373
2
4
8
10
i) Find the probability Pr(25X56).
ii) Calculate the expected value of X E[X].
iii) Sketch the corresponding probability mass function PMF.
b) The time a data packet requires to arrives to its target destination is an exponential random with a
mean of 3 milliseconds. What is the probability that this packet is received in less than 3 milliseconds?

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