7. The sample space of an experiment is {a, b, c, d, e, f }, and each outcome is equally likely. A random variable X, is defined as follows: outcome 1.5 1.5 2. 3. (a) Determine the probability distribution of X. (b) Find: (i) P(X =1.5), (ii) P(0.5 < X < 2.7), (iii) P(X >3), (iv) P(0< X < 2).

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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7. The sample space of an experiment is {a, b, c, d, e, f }, and each outcome is equally likely. A
random variable X, is defined as follows:
outcome
1.5
1.5
0.
2.
(a) Determine the probability distribution of X.
(b) Find: (1) P(X =1.5),
(i) P(0.5 <X < 2.7),
(iii) P(X > 3),
(iv) P(0< X < 2).
Transcribed Image Text:7. The sample space of an experiment is {a, b, c, d, e, f }, and each outcome is equally likely. A random variable X, is defined as follows: outcome 1.5 1.5 0. 2. (a) Determine the probability distribution of X. (b) Find: (1) P(X =1.5), (i) P(0.5 <X < 2.7), (iii) P(X > 3), (iv) P(0< X < 2).
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