[Probability] Two friends come into a same coffee place on a regular basis. Every day each friendstops by at the coffee place between 2pm and 3pm, but at random moments of time (uniformlydistributed across the given hour) and independently from each other. Each stays in the cafe forexactly 20 minutes. What is the probability that two friends meet at the cafe on a given day(assuming a meeting occurs with certainty if they both are there at the same moment of time)?

The time at which friends stop by at the coffee place is between pm and pm.They stop there at…

Answered: [Probability] Two friends come into a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk player is 0.45, and that a person owns both a microwave and a CD player is 0.11. Find the probability that a person owns either a microwave or a CD player, but not both.
The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
A commuter must pass through three traffic lights on her way to work. For each traffic light, the probability that it is green when she arrives is 0.6. The lights are independent. 3 (a) Compute the probability that all three lights are green. (b) The commuter goes to work five days per week. Let X be the number of times out of the five days in a given week that all three lights are green. Assume the days are independent of one another. Determine the distribution of X. (c) Calculate P(X= 3).
A physics class has 50 students. Of these, 11 students are physics majors and 16 students are female. Of the physics majors, three are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed.) ******************
Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?
A supermarket has one cashier at work at a particular time of day. On average two customers arrive every 5 minutes wishing to pay. What is the probability that the cashier has to deal with more than two customers in a 5 minute interval?
In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)
The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?

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