9. There are four ball of the same size in a box. The balls are numbered 1, 2, 3, and 4. Connie randomly picks up one ball, puts it back, and then randomly picks up one ball from the box. Let X denote the sum of the numbers on the two balls she picked up. a. Find the probability distribution and events corresponding to the values of X. b. Obtain the cumulative distribution function of X. c. Find P(3 sX <7)

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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9. There are four ball of the same size in a box. The balls are numbered 1, 2, 3,
and 4. Connie randomly picks up one ball, puts it back, and then randomly
picks up one ball from the box. Let X denote the sum of the numbers on the
two balls she picked up.
a. Find the probability distribution and events corresponding to the values
of X.
b. Obtain the cumulative distribution function of X.
c. Find P(3 s X <7)
Transcribed Image Text:9. There are four ball of the same size in a box. The balls are numbered 1, 2, 3, and 4. Connie randomly picks up one ball, puts it back, and then randomly picks up one ball from the box. Let X denote the sum of the numbers on the two balls she picked up. a. Find the probability distribution and events corresponding to the values of X. b. Obtain the cumulative distribution function of X. c. Find P(3 s X <7)
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