You go to the ARC gym 4 times a week, each time you visit there is a 0.85 probability that you willswim in the pool. You make this choice independently of other times you have visited the gym the sameweek.We will now consider how many times you use the pool in a given week.(a) Let X be the number of times you swim in a given week when you have visited the gym on 4occasions. What kind of distribution does X follow? Interpret the parameters of this distribution.(b) What assumptions do you need to make to say that X has this distribution?(c) What is the probability that you swim every time you visit the ARC in a given week?(d) What is the probability that you swim in the pool at least 3 times in a given week?(e) What is the probability that you use the pool less than twice during a given week? Round youranswer to 3 decimal places.

You go to the ARC gym 4 times a week, each time you visit there is a 0.85 probability that you will…

Answered: (a) Let X be the number of times you…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What is the probability distribution if X∼B(3,0.82)?
You are interested in finding a 90% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 11 randomly selected college students. Round answers to 3 decimal places where possible. 9. 1 9. 7 3 4 2 12 12 11 a. To compute the confidence interval use a ? v distribution. b. With 90% confidence the population mean number of days of class that college students miss is between and days. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of missed class days and about percent will not contain the true population mean number of missed class days.
Fault Since 1857, Parkfield, California, has had a major earthquake on the average of once every 22 years. Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. Compute the probability of at least one major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator. Compute the probability that there will be no major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator. Compute the probability of at least one major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator. Compute the probability of no major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator.
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The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.)
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In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =
It was found that 70% of cars in a city are sedan and 65% of cars are white in colour. The probability that a car is a sedan, given that it is white in colour, is 60%. (a) What is the probability in percentage that a car is white in colour given that it is a sedan? % Write all answers to 2 decimal places (b) What is the probability in percentage that it is not a sedan nor white in colour? % Check
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
Luz has noticed the probability distribution for X = number of cars in line to use the drive-thru ATM when she visits her bank is shown below. X 0 1 2 3 4 P(X) 0.10 0.10 0.40 0.30 0.10 What is the probability mean number of cars in line for the drive-thru ATM when Luz visits her bank?
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