2. The amount of time spent by North American adults watching television per day is normallydistributed with a mean of 6 hours and a standard deviation of 1.5 hours.a. What is the probability that a randomly selected North American adult watches television for morethan 7 hours per day?b. What is the probability that the average time watching television by a random sample of five NorthAmerican adults is more than 7 hours?c. What is the probability that in a random sample of five North American adults, all watch television formore than 7 hours per day?

Given data The amount of time spent by North American adults watching television per day is normally…

Answered: 2. The amount of time spent by North…

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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Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.7 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.3 minutes. Use Appendix B.3. a. What percent of the New York City commutes are for less than 29 minutes? (Round your Intermediate calculations and final answer to 2 decimal places.) Fercent b. What percent are between 29 and 36 minutes?? (Round your Intermediete calculations end final answer to 2 decimel places.) Percent your Intermediate calculations and final answer to 2 decimal places.) c. What percent are between 29 and 44 minutes? (Round Percent Next 6 of 10
36. Electric bills: According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with standard deviation $20.00. a. What proportion of bills are greater than $130? b. What proportion of bills are between $85 and $140? c. What is the probability that a randomly selected household had a monthly bill less than $120?
1.The number of chocolate chips in an 18 ounce bag of Chips Ahoy! chocolate chip cookies is approximately normally distributed with a mean 1262 and standard deviation of 118 chips according to a study by cadets at the U.S. Air Force Academy. a.What is the probability that a randomly selected 18 ounce bag of Chips Ahoy! Chocolate chip cookies contains between 1000 and 1400 chocolate chips? b.What is the probability that a randomly selected 18 ounce bag of Chips Ahoy! Chocolate chip cookies contains fewer than 1000 chocolate chips? c. What is the probability that a randomly selected 18 ounce bag of Chips Ahoy! Chocolate chip cookies contains more than 1400 chocolate chips?
Assume the average price for a movie is $7.35. Assume the population standard deviation is $0.44 and that a sample of 40 theatres was randomly selected. What is the probability that the sample mean will be less than $7.31?
4. TomTom, the producer of GPS devices, reported that the fastest drivers in the nation are in Mississippi. In Mississippi, interstate drivers average 70.1 miles per hour. Assume that the speed of cars traveling on Mississippi’s interstates follows the normal distribution with a standard deviation of 7.2 miles per hour. a. What is the probability that a randomly selected car on a Mississippi interstate is traveling 1. faster than 65 miles per hour? 2. slower than 72 miles per hour? 3. between 60 and 66 miles per hour? 4. between 78 and 85 miles per hour? b. Confirm the answers to part a with Excel. c. What average speed should I drive if I want to travel faster than 70% of the cars on the interstate?
4. The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. What's the approximate probability that the average price for 16 gas stations is over $4.69? а. b. Find the probability that the average price for 30 gas stations is less than $4.55. C. Sketch graphs for a and b
The hourly pay in a small city is normally distributed with a mean of $34.58 and a standard deviation of $7.50. a. What is the probability that a randomly selected worker from the city earns between $38.00 and $40.00 per hour? b. What is the probability that the combined hourly pay of 5 randomly selected workers from the city is between $190 and $200 per hour? c. What is the probability that the hourly pay for all 5 randomly selected workers is not between $38 and $40 per hour?

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