The following table represents the joint probability distribution of the number of people waiting to cross intersection A and intersection B at any given time. B=0 B=1 B=2 B=3 PA (A= a) A = 0 0.062 0.12 0.04 0.13 A= 1 0.02 0.05 0.044 A= 2 0.07 0.06 0.11 0.01 A= 3 0.16 0.02 0.226 PB (B=b) 0.246 a. Determine the probability of three people waiting to cross intersection A and one person waiting to cross intersection B. Answer in fraction or in exact decimals b. What is the probability of a total of at most two people waiting to cross both intersections A and B? Answer in fraction or in exact decimals c. If there are at least two people waiting to cross intersection B, what is the probability of two people waiting to cross intersection A? Answer in exact fraction or rounded to at least 4 decimal places

The following table represents the joint probability distribution of the number of people waiting to cross intersection A and intersection B at any given time. B=0 B=1 B=2 B=3 PA (A= a) A = 0 0.062 0.12 0.04 0.13 A= 1 0.02 0.05 0.044 A= 2 0.07 0.06 0.11 0.01 A= 3 0.16 0.02 0.226 PB (B=b) 0.246 a. Determine the probability of three people waiting to cross intersection A and one person waiting to cross intersection B. Answer in fraction or in exact decimals b. What is the probability of a total of at most two people waiting to cross both intersections A and B? Answer in fraction or in exact decimals c. If there are at least two people waiting to cross intersection B, what is the probability of two people waiting to cross intersection A? Answer in exact fraction or rounded to at least 4 decimal places

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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