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Ahmed recently caught Covid-19. He had contact to 7 persons. Let X be the number of persons he infected, a discrete random variable. The probability distribution of X is as follows: 1 3 4 5 7 P(X) 0.079 0.203 0.079 0.118 0.28 0.021 0.01 0.21 Find the following probabilities (in 3 decimal places): (d) What is the probability that he infected at least 1 person? (e) What is the expectation value of the number of persons infected by him? (f) What is the variance of the number of people infected by him?

Ahmed recently caught Covid-19. He had contact to 7 persons. Let X be the number of persons he infected, a discrete random variable. The probability distribution of X is as follows: 1 3 4 5 7 P(X) 0.079 0.203 0.079 0.118 0.28 0.021 0.01 0.21 Find the following probabilities (in 3 decimal places): (d) What is the probability that he infected at least 1 person? (e) What is the expectation value of the number of persons infected by him? (f) What is the variance of the number of people infected by him?

A First Course in Probability (10th Edition)
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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Ahmed recently caught Covid-19. He had contact to 7 persons. Let X be the number of persons he infected, a discrete random variable. The probability distribution of X is as follows: 1 3 4 5 7 P(X) 0.079 0.203 0.079 0.118 0.28 0.021 0.01 0.21 Find the following probabilities (in 3 decimal places): (d) What is the probability that he infected at least 1 person? (e) What is the expectation value of the number of persons infected by him? (f) What is the variance of the number of people infected by him?
Transcribed Image Text:Ahmed recently caught Covid-19. He had contact to 7 persons. Let X be the number of persons he infected, a discrete random variable. The probability distribution of X is as follows: 1 3 4 5 7 P(X) 0.079 0.203 0.079 0.118 0.28 0.021 0.01 0.21 Find the following probabilities (in 3 decimal places): (d) What is the probability that he infected at least 1 person? (e) What is the expectation value of the number of persons infected by him? (f) What is the variance of the number of people infected by him?
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