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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Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 6 of them use their smartphones in meetings or classes. The probability is 0.9502. (Round to four decimal places as needed.) CHE
suppose that on-the-job injuries in a textile mill occur at the rate of 0.1 per day. A, what is the probability that two accidents will occur during the next (five-day) work week? B, in the probability that four accidents will occur over the next two work weeks, the square of your answer to part (a) explain?
Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease? Give your answer correct to four decimal places.
A sample of 400 adults found that 82 have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Assume that when human resource managers are randomly selected, 64% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that exactly 4 of them say job applicants should follow up within two weeks. The probability is 0. (Round to four decimal places as needed.)
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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6. On the average, it takes 25 seconds to download a file from the internet. If it takes an exponential amount of time to download one file, then what is the probability that it will take more than 70 seconds to download 3 independent files?
Suppose that the probability an archer will hit a target is 0.80 and that each shot is independent. If the archer shoots 6 times, what is the probability she hits the target at least 5 times? (Round your answer to three decimal places.)
The probability is 0.0770 that the 6th applicant for a factory job will be hired on the 13th interview. What is the probability that 6 applicants will be hired from 13 applicants who have been interviewed? Your answer should be to 4 decimal places.
None
The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the probability that fewer than 7 field mice are found (a) on a given acre; (b) on 3 of the next 2.5 acres inspected. (ROUND OFF YOUR FINAL ANSWER TO FIVE DECIMAL PLACES)

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