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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George is a big fan of music from the 1960s, and 22% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. Calculate the probability that more than 30% of the 50 randomly selected songs are Beatles songs. Round your answer to four decimal places.
The probability is 0.309that the gestation period of a woman will exceed 9 months. In 3000human gestation periods, roughly how many will exceed 9 months? Roughly? human gestation periods will exceed 9 months.
An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled
Calls arrive at a switchboard with a mean of one every 11 seconds. What is the exponential probability that it will take more than 21 seconds for the next call to arrive?
A courier service makes an average of 500 deliveries a week, plus / minus 50. The manager wants to know the probability that, on average, between 490 and 510 deliveries will be made during the next 30 weeks. Write your answer to 5 decimal places.
On the average, a certain computer part lasts ten years. The length of time the computer part lasts is exponentially distributed. a. What is the probability that a computer part lasts more than 7 years?
A recent survey showed that 17% of community college students experienced at least some homelessness during their first year at a community college. Surveys also show that 80% of community college students need to take English their first year at a CC. Based on these surveys what is the probability of first year CC students experiencing at least some homeless during their first year and taking an English class? Show the formula, the math plug-ins, and answer.
The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 58 minutes. What is the probability that a randomly selected spouse spends no more than 20 minutes shopping for an anniversary card?
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