The discrete random variable Xhas the probability distribution given by: 7 9 12 13 15 P(X=x) u/2 0.05 0.35 u 0.15 a. Determine the following probability: P(X < 13) Provide the exact answer b. What is the expected value of the random variable Provide the exact answer
The discrete random variable Xhas the probability distribution given by: 7 9 12 13 15 P(X=x) u/2 0.05 0.35 u 0.15 a. Determine the following probability: P(X < 13) Provide the exact answer b. What is the expected value of the random variable Provide the exact answer
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Answer the first two questions
![The discrete random variable Xhas the probability distribution given by:
7
9
12
13
15
P(X=x)
u/2
0.05
0.35
0.15
u
a. Determine the following probability: P(X < 13)
Provide the exact answer
b. What is the expected value of the random variable X
Provide the exact answer
c. What is the variance of the random variable X
Answer in exact fraction, or rounded to at least 4 decimal places.
d. Find the expectation of the random variable Y, where Y =X -4
Answer in exact fraction, or rounded to at least 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe8be3c2-ea28-499b-b2fb-1cc248f48001%2F06301304-28e9-427f-84ce-0560dd108dd1%2F6d0kwbo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The discrete random variable Xhas the probability distribution given by:
7
9
12
13
15
P(X=x)
u/2
0.05
0.35
0.15
u
a. Determine the following probability: P(X < 13)
Provide the exact answer
b. What is the expected value of the random variable X
Provide the exact answer
c. What is the variance of the random variable X
Answer in exact fraction, or rounded to at least 4 decimal places.
d. Find the expectation of the random variable Y, where Y =X -4
Answer in exact fraction, or rounded to at least 4 decimal places.
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