Consider that a game involves the spinning of a dial which is not fair. As the dial is not fair, after spinning it is more likely to point in any particular direction than another. Suppose that the movement of a dial, X, can be modelled by the following probability function f (x) = A sin x; 0 < x < n. (i) Determine the value of A so that f (x) is a pdf (ii) Calculate E (X) and Var(X). [4]
Consider that a game involves the spinning of a dial which is not fair. As the dial is not fair, after spinning it is more likely to point in any particular direction than another. Suppose that the movement of a dial, X, can be modelled by the following probability function f (x) = A sin x; 0 < x < n. (i) Determine the value of A so that f (x) is a pdf (ii) Calculate E (X) and Var(X). [4]
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Consider that a game involves the spinning of a dial which is not fair. As the dial is not
fair, after spinning it is more likely to point in any particular direction than another.
Suppose that the movement of a dial, X, can be modelled by the following probability
function
f (x) = A sin x; 0 < x < n.
%3D
(i) Determine the value of A so that f (x) is a pdf (ii) Calculate E (X) and Var(X).
[4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F593a0e2e-9b7b-4adf-a58b-4eb94db39cfc%2Fc325061d-0b9c-48d3-b7d7-f5a10e173adc%2Fxqk2xpv_processed.png&w=3840&q=75)
Transcribed Image Text:Consider that a game involves the spinning of a dial which is not fair. As the dial is not
fair, after spinning it is more likely to point in any particular direction than another.
Suppose that the movement of a dial, X, can be modelled by the following probability
function
f (x) = A sin x; 0 < x < n.
%3D
(i) Determine the value of A so that f (x) is a pdf (ii) Calculate E (X) and Var(X).
[4]
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