4.The time taken to assemble a car in a certain plant is a random variable having anormal distribution of 20 hours and a standard deviation of 2 hours. What is theprobability that a car can be assembled at this plant in a period of timea) less than 19.5 hours?b) between 20 and 22 hours?

Answered: 4. The time taken to assemble a car in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

11. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 6.4 minutes and a standard deviation o=3.5 minutes. If a random sample of 49 customers is observed, find the probability that their mean time at the teller's window is (a) at most 5.6 minutes; (b) more than 7.4 minutes; (c) at least 6.4 minutes but less than 7.0 minutes. Click here to view page 1 of the standard normal distribution table.¹ Click here to view page 2 of the standard normal distribution table.² (a) The probability that the mean time is at most 5.6 minutes is (Round to four decimal places as needed.) (b) The probability that the mean time is more than 7.4 minutes is (Round to four decimal places as needed.) (c) The probability that the mean time is between 6.4 minutes and 7.0 minutes is (Round to four decimal places as needed.)
1.A personnel manager is employed in a corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph.(b) Give the 95th Percentile. (Round your answer to two decimal places.)
6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.
13) For a random variable with mean=10 and standard deviation=2, (show work) a. Find the value that corresponds to z-score=-2.4. b. applying Chebeche's Rule, find value of k such that at least 60% of the measures are within k standard deviation of the mean.
11.
a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samsle should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
A) When the weight of a parcel of oranges was measured, it was observed that the average 200 grams and standard deviation of 25 grams fit the normal distribution. This package contains 500 oranges. What is the probability that an orange selected from a carton is between 216 g and 234 g? (Including 216 g and 234 g) B) When the weight of a parcel of oranges was measured, it was observed that the average 200 grams and standard deviation of 25 grams fit the normal distribution. 12 out of 500 oranges in this package were under a certain weight and could not pass the test. How many grams or less did oranges fail the test? C) When the weight of a parcel of oranges was measured, it was observed that the average 190 grams and standard deviation of 25 grams fit the normal distribution. 9 out of 500 oranges in this package were under a certain weight and could not pass the test. How many grams or less did oranges fail the test? D) When the individual weight of a parcel (500 pieces) of…
Suppose weights, in pounds, of dogs in a city have an unknown distribution with mean 31 and standard deviation 5 pounds. A sample of size n=39 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 1180 and 1194 pounds?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

4. The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time a) less than 19.5 hours? b) between 20 and 22 hours?