1. Identify if the following distribution is a valid probability distribution for a discrete random variable X.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. Identify if the following distribution is a valid probability distribution for a discrete random
variable X.
6
7
8
9
P(X)
0.24
0.06
0.43
0.26
2. Construct the probability distribution for the random variable X which pertains to the number
of heads when you tos three coins at the same time.
3. A wooden box contains 5 cards. Each card has a number written on it. The numbersare 3, 5,7
9, and 11. If two cards are to be drawn successively from the box, and X is a random variable
that represents the sum of the two numbered cards, construct a probability distribution for the
random variable X.
Transcribed Image Text:1. Identify if the following distribution is a valid probability distribution for a discrete random variable X. 6 7 8 9 P(X) 0.24 0.06 0.43 0.26 2. Construct the probability distribution for the random variable X which pertains to the number of heads when you tos three coins at the same time. 3. A wooden box contains 5 cards. Each card has a number written on it. The numbersare 3, 5,7 9, and 11. If two cards are to be drawn successively from the box, and X is a random variable that represents the sum of the two numbered cards, construct a probability distribution for the random variable X.
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