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]

Name: Please explain every step and theories: Consider that a game involves
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Description: Please explain every step and theories: Consider that a game involves the spinning of a dial which is not fair. As the dial is notfair, after spinning it is more likely to point in any particular direction than another.Suppose that the movement of a

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...

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