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31) The probability that a Poisson variate X takes a positive value is 1 - e-1.5. Find the variance and the probability that X lies between -1.5 and 1.5.

31) The probability that a Poisson variate X takes a positive value is 1 - e-1.5. Find the variance and the probability that X lies between -1.5 and 1.5.

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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less than 90 days? (ii) If it is decided to replace all the bulbs together what interval should be allowed between replacements if not more than 10% should expire before replacement? 31) The probability that a Poisson variate X takes a positive value is 1- e-1.5. Find the variance and the probability that X lies between -1.5 and 1.5. 32) From the following table, estimate the number of students who obtained marks between 40 and 45. Marks 30-40 40-50 50-60 60-70 70-80
Transcribed Image Text:less than 90 days? (ii) If it is decided to replace all the bulbs together what interval should be allowed between replacements if not more than 10% should expire before replacement? 31) The probability that a Poisson variate X takes a positive value is 1- e-1.5. Find the variance and the probability that X lies between -1.5 and 1.5. 32) From the following table, estimate the number of students who obtained marks between 40 and 45. Marks 30-40 40-50 50-60 60-70 70-80
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