c. There is a gourmet coffee service provided every day at the office between 8:55 am and9:05 am. With 8:45 departure time, what is the probability that the bureaucrat missescoffee?d. What is the commute time for the worst (longer trips) 10% ? What is the commute time forthe best (shortest trip) 10%?e. Showing all steps and using the empirical rule, complete the following table:Dispersion±1 std dev'n±2 std dev'n±3 std dev'nCommute time (min) The sunshine list mid-level bureaucrat depicted has acommute from a suburban home to a midtown office,normally distributed one way trip time having a mean of 24minutes and standard deviation of 3.5 minutes.a. What is the probability that a trip takes at least 30 minutes? What is the probability of a triptaking at least 20 minutes (on a better day)? What is the probability that it is 20 min or less?b. If the office opens at 9am, and the departure time is 8:45 am, what percentage of the daysis the bureaucrat late for work? What if the departure time is 8:40 am?

Please note that as per our guidelines if multiple sub-parts are there in a question we can answer…

Answered: The sunshine list mid-level bureaucrat…

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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The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?
need help please
O 6. Salaries for Actuaries The average salary for gradu- ates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual graduate will have a salary over $68,000. b. A group of nine graduates will have a group average over $68,000. Source: www.payscale.com & 7. Commuter Train Passengers On a certain run of : commuter train, the average number of passengers is 476 and the standard deviation is 22. Assume the variable is normally distributed. If the train makes the run, find the probability that the number of passengers will be a. Between 476 and 500 passengers b. Fewer than 450 passengers c. More than 510 passengers
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Please use the approporate stats table provided. Do not use a software for this problem. Q17: If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:a. No accidents b. One accident c. Two or more
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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