The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.35, the analogous probability for the second signal is 0.55, and theprobability that he must stop at at least one of the two signals is 0.7.What is the probability that he must stop at both signals?1 What is the probability that he must stop at the first signal but not at the second one?What is the probability that he must stop at exactly one signal?

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Answered: e route used by a certain motorist in…

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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Q7 A faculty member meets two students in Paris, one of whom arrives by train from Amsterdam and the other from Brussels at approximately the same time. The probability that the train from Amsterdam will arrive on time is 0.93. The probability that the train from Brussels will arrive on time is 0.89, and the probability that both trains will arrive on time is 0.87. What is the probability that at least one train will arrive on time?
2. The probabilities that a physician attends to 2, 3, 4, or 5 patients in any day are 0.40, 0.25, 0.15, and 0.20, respectively. Find the average number of patients that a physician attends on a day. Interpret its value in the context of medical treatment.
a. In CSE230, there were 2 assignments this semester. The probability that you would get above average marks in the first and the second assignments are 0.7 and 0.6 respectively. But if someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments?
Please give me solution within 30 min.
Johnny plans to go biking or hiking over the weekend. The probability that he does at least one of these is 0.70 while the probability that he does both is only 0.50. If Johnny is equally likely to go biking as to go hiking, what is the probability that he goes biking but not hiking?
Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
Hi! I pretty much don't understand this problem that was presented on my Statistics class
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?

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