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a) Suppose that Game store in Polokwane donated a lot of 8 computer sets that includes 3 which are malfunctioning or defective. If 4 of this computer sets are chosen at random for delivery to a school. i) What will be the probability mass function of a random variable Y? ii) What will be the expected value of Y?

a) Suppose that Game store in Polokwane donated a lot of 8 computer sets that includes 3 which are malfunctioning or defective. If 4 of this computer sets are chosen at random for delivery to a school. i) What will be the probability mass function of a random variable Y? ii) What will be the expected value of Y?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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a) Suppose that Game store in Polokwane donated a lot of 8 computer sets that includes 3 which are malfunctioning or defective. If 4 of this computer sets are chosen at random for delivery to a school. i) What will be the probability mass function of a random variable Y? ii) What will be the expected value of Y? b) A master's student, Mr Nkandimeng Ledwaba's task this semester is to contact the Research Office at the University of Limpopo for support for the university's National Research Fund (NRF). Studies conducted in South Africa and elsewhere, point out that the probability that each of the his calls is answered is What will be the probability that the second call to be answered on one particular day is his sixth call? c) i) Find the value of k which make the following function a pdf (15 Y - 2syso 64 64 fV) = {3 + ky 0<ys 3 8. elsewhere ii) What is the P(-1sY S 2)? i) Find the cumulative distribution function of Y. iv) Find the variance of Y. d) Let Y be a continuous random variable with a probability mass function: Derive the moment generating function (MGF) of a random variable Y.
Transcribed Image Text:a) Suppose that Game store in Polokwane donated a lot of 8 computer sets that includes 3 which are malfunctioning or defective. If 4 of this computer sets are chosen at random for delivery to a school. i) What will be the probability mass function of a random variable Y? ii) What will be the expected value of Y? b) A master's student, Mr Nkandimeng Ledwaba's task this semester is to contact the Research Office at the University of Limpopo for support for the university's National Research Fund (NRF). Studies conducted in South Africa and elsewhere, point out that the probability that each of the his calls is answered is What will be the probability that the second call to be answered on one particular day is his sixth call? c) i) Find the value of k which make the following function a pdf (15 Y - 2syso 64 64 fV) = {3 + ky 0<ys 3 8. elsewhere ii) What is the P(-1sY S 2)? i) Find the cumulative distribution function of Y. iv) Find the variance of Y. d) Let Y be a continuous random variable with a probability mass function: Derive the moment generating function (MGF) of a random variable Y.
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