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4. A large box contains thousands of coins, nickels, dimes, and quarters. These coins are well mixed inside the box and since the number of each is not the same, when randomly selecting a coin the probability of selecting a nickel, a dime, and a quarter is 0.4, 0.5, and 0.1 respectively. An experiment involves picking randomly and simultaneously three coins and observing them. A random variable X is defined as the sum dollar value (expressed in cents) of the three coins selected. a) Determine the PMF of the random variable X. b) Determine the probability Pr{X>E{X}}.

4. A large box contains thousands of coins, nickels, dimes, and quarters. These coins are well mixed inside the box and since the number of each is not the same, when randomly selecting a coin the probability of selecting a nickel, a dime, and a quarter is 0.4, 0.5, and 0.1 respectively. An experiment involves picking randomly and simultaneously three coins and observing them. A random variable X is defined as the sum dollar value (expressed in cents) of the three coins selected. a) Determine the PMF of the random variable X. b) Determine the probability Pr{X>E{X}}.

A First Course in Probability (10th Edition)
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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4. A large box contains thousands of coins, nickels, dimes, and quarters. These coins are well mixed inside the box and since the number of each is not the same, when randomly selecting a coin the probability of selecting a nickel, a dime, and a quarter is 0.4, 0.5, and 0.1 respectively. An experiment involves picking randomly and simultaneously three coins and observing them. A random variable X is defined as the sum dollar value (expressed in cents) of the three coins selected. a) Determine the PMF of the random variable X. b) Determine the probability Pr{X> E{X}}.
Transcribed Image Text:4. A large box contains thousands of coins, nickels, dimes, and quarters. These coins are well mixed inside the box and since the number of each is not the same, when randomly selecting a coin the probability of selecting a nickel, a dime, and a quarter is 0.4, 0.5, and 0.1 respectively. An experiment involves picking randomly and simultaneously three coins and observing them. A random variable X is defined as the sum dollar value (expressed in cents) of the three coins selected. a) Determine the PMF of the random variable X. b) Determine the probability Pr{X> E{X}}.
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