Problem #2: Suppose a random variable X has expected value E[X]=-2 and variance Var(X) = 4. Compute the following quantities. (a) E[X-2] (b) E[X²] (c) E[(x-2)²] (d) Var[X-3]

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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Problem #2: Suppose a random variable X has expected value E[X]
quantities.
(a) E[X-2]
(b) E[X²]
(c) E[(X-2)²]
(d) Var[X-3]
DONL
Problem #2(a): -4
Problem #2(b): 8
Problem #2(c): 4
Problem #2 (d): 4
Just Save
Problem #2
Your Answer:
Submit Problem #2 for Grading
Attempt #2
2(a)
2(b)
2(c)
2(d)
Attempt #1
2(a) -4
2(b) 8
2(c) 4
2(d) 4
Your Mark: 2(a) 2/2✔
2(a)
2(b) 2/2✓ 2(b)
2(c) 0/2X
2(c)
2(d) 2/2✔ 2(d)
Attempt #3
2(a)
2(b)
2(c)
2(d)
2(a)
2(b)
2(c)
2(d)
-2 and variance Var(X) = 4. Compute the following
Attempt #4
2(a)
2(b)
2(c)
2(d)
2(a)
2(b)
2(c)
2(d)
Attempt #5
2(a)
2(b)
2(c)
2(d)
2(a)
2(b)
2(c)
2(d)
Transcribed Image Text:Problem #2: Suppose a random variable X has expected value E[X] quantities. (a) E[X-2] (b) E[X²] (c) E[(X-2)²] (d) Var[X-3] DONL Problem #2(a): -4 Problem #2(b): 8 Problem #2(c): 4 Problem #2 (d): 4 Just Save Problem #2 Your Answer: Submit Problem #2 for Grading Attempt #2 2(a) 2(b) 2(c) 2(d) Attempt #1 2(a) -4 2(b) 8 2(c) 4 2(d) 4 Your Mark: 2(a) 2/2✔ 2(a) 2(b) 2/2✓ 2(b) 2(c) 0/2X 2(c) 2(d) 2/2✔ 2(d) Attempt #3 2(a) 2(b) 2(c) 2(d) 2(a) 2(b) 2(c) 2(d) -2 and variance Var(X) = 4. Compute the following Attempt #4 2(a) 2(b) 2(c) 2(d) 2(a) 2(b) 2(c) 2(d) Attempt #5 2(a) 2(b) 2(c) 2(d) 2(a) 2(b) 2(c) 2(d)
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