Suppose we roll a six sided die repeatedly. Let Ni be the number of the roll on which we see i for the first time. (a) Find the marginal distributions of N1. (b) The conditional distribution of N6 given N1 = i (c) Find the joint distribution of N1 and N6.

Suppose we roll a six sided die repeatedly. Let Ni be the number of the roll on which we see i for the first time. (a) Find the marginal distributions of N1. (b) The conditional distribution of N6 given N1 = i (c) Find the joint distribution of N1 and N6.

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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Question

Suppose we roll a six sided die repeatedly. Let Ni be the number of the roll on which we see i for the first time.

(a) Find the marginal distributions of N1.

(b) The conditional distribution of N6 given N1 = i

Please answer all subparts with explanation.

I will really upvote

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