A person rolls a die, tosses a coin, and draws a card from an ordinary deck. He receives $\$ 3$ for each point up on the die, $\$ 10$ for a head and $\$ 0$ for a tail, and $\$ 1$ for each spot on the card (jack $=11,$ queen $=12,$ king $=13$ ). If we assume that the three random variables involved are independent and uniformly distributed. compute the mean and variance of the amount to be received.

A person rolls a die, tosses a coin, and draws a card from an ordinary deck. He receives $\$ 3$ for each point up on the die, $\$ 10$ for a head and $\$ 0$ for a tail, and $\$ 1$ for each spot on the card (jack $=11,$ queen $=12,$ king $=13$ ). If we assume that the three random variables involved are independent and uniformly distributed. compute the mean and variance of the amount to be received.

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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