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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON