Automotive engineers have found that the gas mileage in highwaydriving of a certain sports utility van is normally distributed witha mean of 13.6 kilometers per liter and a standard deviation of1.5 kilometers per liter.Find the probability that a random sample of 16 sports utilityvans has a mean between 13.2 and 14.2 kilometers per liter.O P(-1.07 < Z < 1.60) = 0.1423 – 0.9452O P(1.07 < Z < 1.60) = 0.9452 – 0.8577%D|O P(-1.07 < Z < 1.60) = 0.9452 – 0.8577O P(-1.07 < Z < 1.60) = 0.9452 – 0.1423

Answered: Image /qna-images/answer/6c5009d8-7e38-4a30-b34c-6af2a02a7467.jpg

Answered: Automotive engineers have found that…

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...

See similar textbooks

Similar questions

Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.
A machine produces glass with a nominal thickness of 4mm. In fact the thickness is a Normal random variable with mean 4.168mm and standard deviation 0.12mm. The thickness in mm which 5% of panes exceed is (2 d.p.)?
Suppose that an airline uses a seat width of 16.7 in. Assume that men have hip breadths that are normally distributed with a mean of 14.2 inches, and a standard deviation of 1in. Find the probability that if an individual man is randomly selected that his hip breadths will be greater than 16.7 in.
An expensive watch is powered by a 3-volt lithium battery expected to last four years. Suppose the life of the battery has a standard deviation of 0.3 year and is normally distributed a. Determine the probability that the watch's battery will last longer than 4.2 years. b. Calculate the probability that the watch's battery will last more than 3.35 years c. Compute the length-of-life value for which 10% of the watch's batteries last longer. Round answers to 4 decimal places
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
A random sample of size 21 is selected from Normal distribution with mean 12 and unknown variance. If the sample standard deviation S is 4, then the (90.)th percentile of the sample mean is closest to: a. 12.50 O b. 12.20 O c. 10.80 O d. 13.20 O e. 11.10
In a factory production the products' weights follow a normal distribution with mean 4.00 kg and standard deviation 0.06 kg. Suppose a product is chosen at random, find the probability that the product's weight is between 3.88 kg and 4.18 kg?
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. What is the probability that the sample mean will be between 2.4 and 2.6 inches?
The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers and a standard deviation of 1.3 micrometers. An engineer takes a sample of 50 wafers once a week and calculates the mean thickness of these wafers. If the mean of this sample is either less than 10.41 micrometers or greater than 10.79 micrometers, the engineer will conclude that the machine needs an adjustment. The probability that, based on a sample of 50 wafers, the engineer will conclude that the machine needs an adjustment is: O 0.6970 O 0.1091 O 0.3030 O 0.2522 O 0.1506
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS