Let T exp (3). The random variable X is defined as follows: first we observe the value of T, and if T =t then we pick X uniformly in the interval [t, 3t]. 1. Compute the covariance of X and T. Does the direction of their correlation (+/0/-) make sense? 2. Compute the joint density f (r, t) of X and T. 3. Compute the probability of the event X > 2T.
Let T exp (3). The random variable X is defined as follows: first we observe the value of T, and if T =t then we pick X uniformly in the interval [t, 3t]. 1. Compute the covariance of X and T. Does the direction of their correlation (+/0/-) make sense? 2. Compute the joint density f (r, t) of X and T. 3. Compute the probability of the event X > 2T.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Solve question 3 plz all parts and solve in plz minimum time and take a thumb up plz
![Let T - exp (3). The random variable X is defined as follows: first we observe the value of T, and if T = t then we
pick X uniformly in the interval [t, 3t].
1. Compute the covariance of X and T. Does the direction of their correlation (+/0/-) make sense?
2. Compute the joint density f (r, t) of X and T.
3. Compute the probability of the event X > 27.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3932aa1c-1b5f-4d84-a3d3-4f7705949611%2Fe7cb0033-515d-428e-bef1-9b3ae5b3e48f%2Fsd9wfx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T - exp (3). The random variable X is defined as follows: first we observe the value of T, and if T = t then we
pick X uniformly in the interval [t, 3t].
1. Compute the covariance of X and T. Does the direction of their correlation (+/0/-) make sense?
2. Compute the joint density f (r, t) of X and T.
3. Compute the probability of the event X > 27.
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