A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Question
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles.
(e) What is the probability that there are no major cracks in two separate 5-mile stretches of the highway?
(f) Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?
(g) If 10 separate one-mile stretches are considered, what is the probability that at least one of the 10 stretches will contain at least one crack?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 4 images
Knowledge Booster
Similar questions
- For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of 180. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 502. What is the probability that a sample of 35 exams will have a mean score of 502 or more if the exam scores follow the sanme distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Earrow_forwardData from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures for cellular phone services per consumer unit increased from $235 in 2001 to $611 in 2007. Let the standard deviation of annual cellular expenditure be $42 in 2001 and $162 in 2007. What is the probability that the average annual expenditure of 136 cellular customers in 2001 exceeded $234? What is the probability that the average annual expenditure of 136 cellular customers in 2007 exceeded $577?arrow_forwardFor a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Continue X S Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Submit Assignment Accessibility Terms of Use Privacy Center Augarrow_forward
- The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.arrow_forwardSuppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 4 minutes. Determine the probability that the child must wait between 2 and 3 minutes on the bus on a given morning.arrow_forwardA government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34. suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal distribution with a mean of 182 milligrams per deciliter. The standard deviation is 37 milligrams per deciliter. choose an SRS of 1000 men from this population. Now what is the probability that x falls within + or - 2 milligrams per deciliter of the mean?arrow_forward
- A random sample of 100 items is selected from a population of size 350. What is the probability that the sample mean will exceed 200 if the population mean is 195 and the population standard deviation equals 20?arrow_forwardThe waiting time at a railroad crossing follows an exponential distribution, with an average time of 8 minutes, determining the probability of waiting between 2 and 5 minutes.arrow_forwardA young investment manager tells his client that the probability of making a positive return with his suggested portfolio is 84%. If it is known that returns are normally distributed with a mean of 4.1%, what is the risk, measured by standard deviation, that this investment manager assumes in his calculation?arrow_forward
- A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?arrow_forwardThe manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 7 minutes. What is the probability that a car can complete the transaction in less than 4 minutes? Probability =arrow_forwardThe manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 6.5 minutes. What is the probability that a car can complete the transaction in less than 6 minutes?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON