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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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