7.13The probability that a university graduate will be offered no jobs within a month of graduationis estimated to be 5%. The probability of receiving one, two, and three job offers has similarly beenestimated to be 43%, 31%, and 21%, respectively. Determine the following probabilities.
a) A graduate is offered fewer than two jobs.
b) A graduate is offered more than one job.
c) Also draw both the p.m.f. table and the p.m.f. graph.7.19.We are given the following probability distribution.x0123P(x) 0.4 0.3 0.2 0.1
a) Calculate the mean, variance, and standard deviation.
b) Suppose thatY= 3X+2For each value of X, determine the value of Y. What is the probabilitydistribution of Y?
c) Calculate the mean, variance, and standard deviation from the probability distribution of Y.
d) Use the laws of expected value and variance to calculate the mean, variance, and standard deviation of Y from the mean, variance, and standard deviation of X. Compare your answers in2Sep 18, 2020
ECN 422PS2Zhanhan Yuparts (c) and (d). Are they the same (except for rounding)?7.47The bivariate distribution of X and Y is describe
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