Lecture 8:1. An n sided die is rolled. Each face has a unique label from 1 to n. Let, X be therandom variable that denotes the number that is on top of the die after it haslanded. Express the variance of the variable X in terms of n.2. An n sided die is rolled. Each face has a unique label from 1 to n. Let, X be therandom variable that denotes the number that is on top of the die after it haslanded. Determine P r(X < n).3. Two 10 sided dice are rolled. What is the probability that the sum of the twonumbers that come up on the dice is a prime number?4. Two n sided die are cast. Each faces are numbered from 1 to n. One die is red,one is blue. What is the probability that the red one doesn't land a numberdivisible by 3 and the blue one doesn't land a number divisible by 2?

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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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1. An n sided die is rolled. Each face has a unique label from 1 to n. Let, X be the random variable that denotes the number that is on top of the die after it has landed. Express the variance of the variable X in terms of n.