Due to the Covid-19 pandemic, the following joint probability function is suggested by the consultancy firm to envisage the remaining project's completion. X represents hours while Y represents Covid-19 cases in the region. c is a constant. ,-0.002х-0.005у ,X < у Sce f(x, y) = otherwise Assume that the number of cases will never be lower than time (in hour) that is spent on this project. a) Find the constant b) The probability that X < 500 and Y < 1000 presents c) Calculate the probability that X exceeds 1000 hours. d) Calculate the probability that Y exceeds 1000 cases. e) Obtain the marginal probability function of X (exceeding 1000 hours) f) Obtain the marginal probability function of Y (exceeding 1000 cases) g) Compare the answers of `c` and `d` with the answers 'e' and `f`. Why are they the same or different or close?

Due to the Covid-19 pandemic, the following joint probability function is suggested by the consultancy firm to envisage the remaining project's completion. X represents hours while Y represents Covid-19 cases in the region. c is a constant. ,-0.002х-0.005у ,X < у Sce f(x, y) = otherwise Assume that the number of cases will never be lower than time (in hour) that is spent on this project. a) Find the constant b) The probability that X < 500 and Y < 1000 presents c) Calculate the probability that X exceeds 1000 hours. d) Calculate the probability that Y exceeds 1000 cases. e) Obtain the marginal probability function of X (exceeding 1000 hours) f) Obtain the marginal probability function of Y (exceeding 1000 cases) g) Compare the answers of `c` and `d` with the answers 'e' and `f`. Why are they the same or different or close?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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