Round off your final answer to four decimal places. Indicate units Consider a ferry that can carry both buses and cars across a waterway. Each trip costs theowner approximately $12. The fee for cars is $2 and the fee for buses is $7. Let X and Ydenote the number of buses and cars, respectively, carried on a given trip. The jointdistribution of X and Y is given byYIX120.010.030.0110.030.070.08Y0.030.060.0630.070.130.0740.120.030.040.080.020.06A. Find the probability that there is exactly two cars and exactly one bus during a trip?B. What is the probability that there is almost one car and at most one bus during a trip?C. What is the probability that there is exactly one car during a trip? Exactly one bus?D. Find E(X), E(Y), Var(X), Var(Y), o(x), o(y), marginal density for x and yE. Are X and Y independent, show your solutionF. Find the correlation between X and Y variable and interpret your findings, show yoursolution.

Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS HERE GIVEN JOINT…

A. Find the probability that there is exactly two cars and exactly one bus during a trip? B. What is the probability that there is almost one car and at most one bus during a trip? C. What is the probability that there is exactly one car during a trip? Exactly one bus?

A. Find the probability that there is exactly two cars and exactly one bus during a trip? B. What is the probability that there is almost one car and at most one bus during a trip? C. What is the probability that there is exactly one car during a trip? Exactly one bus?

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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