The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and45 customers is observed. Find the probability that the average=standard deviation 1.3 minutes. Suppose that a random sample of ntime waiting in line for these customers is(a) Less than 10 minutes(b) Between 5 and 10 minutes(c) Less than 6 minutesRound your answers to four decimal places (e.g. 0.9876).(a) The probability is(b) The probability isMa(c) The probability is i

GivenMean(μ)=8.0standard deviation(σ)=1.3sample size(n)=45

Answered: The amount of time that a customer…

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

The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 20 and standard deviation 7. What is the probability that the temperature on a random January day in Columbus is below 10 degrees?
Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard deviation of 9 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn between 36 and 42 million dollars? Round your answer to four decimal places.
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 26 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 26 weeks and that the population standard deviation is 9 weeks. Suppose you would like to select a random sample of 37 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 25. P(X < 25) = Find the probability that a sample of size is randomly selected with a mean less than 25. P(M < 25) = Enter your answers as numbers accurate to 4 decimal places.
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased? a) 0.0018 b) 0.2009 c) 0.0009 d) 0.9991 e) 0.2660 f) None of the above
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 19.8 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 19.8 weeks and that the population standard deviation is 5.9 weeks. Suppose you would like to select a random sample of 152 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 19 and 20.7. P(19 < x < 20.7) = 0.1153 or Find the probability that a sample of size n = 152 is randomly selected with a mean between 19 and 20.7. P(19 << 20.7) = 0.9244 X Enter your answers as numbers accurate to 4 decimal places.
The mean weight of all Goliath grouper caught on the Treasure coast is 367 pounds, with a standard deviation of 33 pounds. Suppose a random sample of 32 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 32 Goliath Grouper is within 7 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places , if necessary .
Suppose the mean income of firms in the industry for a year is 80 million dollars with a standard deviation of 55 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn more than 88 million dollars? Round your answer to four decimal places.
The weight of adult male rhesus monkeys is normally distributed, with a mean of 15 pounds and a standard deviation of 3 pounds. A rhesus monkey is randomly selected. What is the probability that a randomly selected rhesus male monkey weighs between 9 pounds and 24 pounds? (round your answer to 4 decimal places and do not write your answer as a %).
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 46 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.82.8 and a mean diameter of 210210 inches. If 8484 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 209.7209.7 inches? Round your answer to four decimal places.
Suppose that the mean value of the interpupillary distance for all adult males is 65 mm, and the population standard deviation is 5 mm. If the distribution of interpupillary distance is normal and a sample of n=25 adult males is selected, what is the probability that the same average distance, x-bar, for these 25 scores will be between 64 and 67 mm? Same set-up as part a. More than 68 mm? Suppose that a sample of 100 adult males is obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the average distance, x-bar, is between 64 and 67 mm? Same set-up as part c. More than 68 mm?
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last between three (3) and five (5) years.

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