5. Suppose we have a random sample of 100 m & m's. I'm going to make up some probabilities here, but you can google for more accurate numbers. Let's suppose each m & m is blue with probability 1/50, and green with probability 4/10 independent of the color of the other m & m's. (a) What is the distribution of the number of blue m & m's including any parameters? (b) What is the distribution of the number of green m & m's including any parameters? (c) We have two approximations to the binomial distribution: the Poisson approximation and the Gaussian approximation (and if you use the Gaussian approximation also use the histogram correction and the tables in the appendix of our textbook). Which approximation would be appropriate for estimating the probability of 2 or fewer blue m & m's?

5. Suppose we have a random sample of 100 m & m's. I'm going to make up some probabilities here, but you can google for more accurate numbers. Let's suppose each m & m is blue with probability 1/50, and green with probability 4/10 independent of the color of the other m & m's. (a) What is the distribution of the number of blue m & m's including any parameters? (b) What is the distribution of the number of green m & m's including any parameters? (c) We have two approximations to the binomial distribution: the Poisson approximation and the Gaussian approximation (and if you use the Gaussian approximation also use the histogram correction and the tables in the appendix of our textbook). Which approximation would be appropriate for estimating the probability of 2 or fewer blue m & m's?

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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