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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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?
Transcribed Image Text: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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