Match the following questions with the correct answers.A. 24B. 0.0929C. 2D. 154E. 3/4F. 120selectselectselectselectselectselect1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that aperson aged 20 eventually marries.2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²?3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man DiogenesJencounters will be the third man he meets?4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times?5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times?6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?

It is given that the probability that a man aged x marries at time t from the present is 15t+x2dt…

Answered: 1. If X220, the probability that a man…

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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Suppose that on the average, 3 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that less than 1 student will have his automobile stolen during the current semester? Round your answer to four decimal places.
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
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Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage follows the exponential probability distribution. What is the probability that a randomly selected tire will have a tread-life between 30,000 and 50,000 miles?
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Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 75% chance that her Internet connection will be lost at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.
Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 60% chance that her Internet connection will be lost at some point that day. What is the probability that her Internet service is not broken for seven days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.
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