When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry fourpassengers. The time between calls for tickets is exponentially distributed with a mean of 20 minutes. Assume that each caller ordersone ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction?Round your answer to 4 decimal places.i

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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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In a poll, 461 out of 1939 people said that they checked their email multiple times per day. What is the probability that a person who polled checks their email multiple times per day? Round your answer four decimal places
If the probability that an individual will suffer a bad reaction to a given vaccine is 0.19. Determine the probability that out of 3 individuals, at least two will suffer a bad reaction. [The answer should be a number rounded to five decimal places, don't use symbols such as %]
The probability that a student passes APPDA is 2/3, and the probability that she passes Research Methods is 4/9. If the probability of passing at least one course is 4/5, what is the probability that she will pass both courses ? Final answer in % and 2 decimal places.
An insurance company sells a $12,000, five-year term life insurance policy to an individual for $640. Find the expected return for the company if the probability the individual will live for the next five years is 0.98. (Round your answer to the nearest cent.) (Don't Hand writing in solution) .
A professor sees students during regular office hours. Time spent with students follows an exponential dis- tribution with a mean of 10 minutes. Find the probability that a given student spends fewer than 20 minutes with the professor. Find the probability that a given student spends more than 5 minutes with the professor. Find the probability that a given student spends between 10 and 15 minutes with the professor.
The exponential variable describes time between trains to NYC's subway station in the Downtown. The average number of trains is 8 per one hour. Find the probability that more than 10 minutes will elapse between two trains?
You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in every 23rd cereal box, what is the probability of getting the toy you want in any given cereal box? Round the final answer to three decimal places.
A basketball player estimates that he makes 58 % of the free throws he takes. If he takes 15 shots, find the probability that he makes 11 of the 15 shots. (Report answer accurate to 4 decimal places.)
For each probability and percentile problem, draw the picture.Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to 12 minutes. Part (g) Find the probability that a phone call lasts less than 13 minutes. (Round your answer to four decimal places.) Part (h) Find the probability that a phone call lasts more than 13 minutes. (Round your answer to four decimal places.) Part (i) Find the probability that a phone call lasts between 9 and 13 minutes. (Round your answer to four decimal places.)
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.
A vaccine has a 87% probability of being effective in preventing disease. The probability of getting the disease if a person is not vaccinated is 46%. In a certain geographic region, 21% of the people get vaccinated. If a person is selected at random, find the probability that he or she will contract the disease. Round your answer to three decimal places. Also, draw a tree diagram or a table to support your work.

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