4.Instructor's Praise: Suppose the amount of praise an instructor gi ves in his class can bemodelled by a Poisson random variable X with rate 3 sentences per class.(a)What is the rate per class (A) and hence the mean and variance of the random variable X.(b)1,2, 3, 4, 5). (Fill the table below and show all your working)Find the probability that in a particular class he gives I sentences of prai se (where r =(c)that in the next class he gives a sentences of praise (where r= 1,2, 3, 4, 5).Given that the instructor didn't give any praise in the first 10 classes. What is the probability(d)praise, what's the probability that he gave 3 sentences of praise.Find the conditional probability that in a class given that he gives at most 5 sentences of(a)(b) The following are the relevant probabilities:X = r12 3 4 5P(X = x)(c) The following are the relevant probabilities:| 1 2 3 | 4 |5X = 1P(X = x)(d)

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(a) What is the rate per class (A) and hence the mean and variance of the random variable X. (b) 1,2, 3, 4, 5). (Fill the table below and show all your working) Find the probability that in a particular class he gives r sentences of praise (where r = (c) that in the next class he gives r sentences of praise (where r= 1,2, 3, 4, 5). Given that the instructor didn't give any praise in the first 10 classes. What is the probability

(a) What is the rate per class (A) and hence the mean and variance of the random variable X. (b) 1,2, 3, 4, 5). (Fill the table below and show all your working) Find the probability that in a particular class he gives r sentences of praise (where r = (c) that in the next class he gives r sentences of praise (where r= 1,2, 3, 4, 5). Given that the instructor didn't give any praise in the first 10 classes. What is the probability

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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