You wish to simulate a value, Y, from a two point mixture. With probability 0.3, Y is exponentially distributed with mean 0.5. With probability 0.7, Y is uniformly distributed on [-3, 3]. You simulate the mixing variable where low values correspond to the exponential distribution. Then you simulate the value of Y, where low random numbers correspond to low values of Y. Your uniform random numbers from [0, 1] are 0.25 and 0.69 in that order. Calculate the simulated value of Y. (A) 0.19 (B) 0.38 (C) 0.59 (D) 0.77 (E) 0.95
You wish to simulate a value, Y, from a two point mixture. With probability 0.3, Y is exponentially distributed with mean 0.5. With probability 0.7, Y is uniformly distributed on [-3, 3]. You simulate the mixing variable where low values correspond to the exponential distribution. Then you simulate the value of Y, where low random numbers correspond to low values of Y. Your uniform random numbers from [0, 1] are 0.25 and 0.69 in that order. Calculate the simulated value of Y. (A) 0.19 (B) 0.38 (C) 0.59 (D) 0.77 (E) 0.95
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![You wish to simulate a value, Y, from a two point mixture.
With probability 0.3, Y is exponentially distributed with mean 0.5. With probability 0.7, Y
is uniformly distributed on [-3, 3]. You simulate the mixing variable where low values
correspond to the exponential distribution. Then you simulate the value of Y, where low
random numbers correspond to low values of Y. Your uniform random numbers from [0, 1]
are 0.25 and 0.69 in that order.
Calculate the simulated value of Y.
(A)
0.19
(B)
0.38
(C)
0.59
(D)
0.77
(E)
0.95](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216d1836-6a04-4c56-9fc9-07b8f82e65b4%2F7ef6fbff-2fd1-497d-9a04-8803f525d539%2Fzoqfotn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to simulate a value, Y, from a two point mixture.
With probability 0.3, Y is exponentially distributed with mean 0.5. With probability 0.7, Y
is uniformly distributed on [-3, 3]. You simulate the mixing variable where low values
correspond to the exponential distribution. Then you simulate the value of Y, where low
random numbers correspond to low values of Y. Your uniform random numbers from [0, 1]
are 0.25 and 0.69 in that order.
Calculate the simulated value of Y.
(A)
0.19
(B)
0.38
(C)
0.59
(D)
0.77
(E)
0.95
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