Suppose a geyser has a mean time between eruptions of 79 minutes. Let the interval of time between the eruptions be nommally distributed with standard deviation32 minutes Complete parts (a) through (e) below.(a) What is the probability that a randomly selected time interval between eruptions is longer than 95 minutes?The probability that a randomly selected time interval is longer than 95 minutes is approximately(Round to four decimal places as needed.)(b) What is the probability that a random sample of 8 time intervals between eruptions has a mean longer than 95 minutes?The probability that the mean of a random sample of 8 time intervals is more than 95 minutes is approximately(Round to four decimal places as needed.)( What is the probability that a random sample of 20 time intervals between eruptions has a mean longer than 95 minutesThe probability that the mean of a random sample of 20 time intervals is more than 95 minutes is approximately(Round to four decimal places as needed.)14 What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below

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Answered: Suppose a geyser has a mean time…

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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Suppose a geyser has a mean time between eruptions of 86 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 28 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). C (a) What is the probability that a randomly selected time interval between eruptions is longer than 98 minutes? The probability that a randomly selected time interval is longer than 98 minutes is approximately. (Round to four decimal places as needed.)
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.68 and standard deviation 0.88. In USE SALT (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.68 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.68 and 3.00 (b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens
Los Angles workers have An average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. I only need help on question b. B.) find the probability that a randomly selected LA worker has a commute that is longer than 30 minutes.
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 22 minutes and a standard deviation of 5 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 30 minutes(b) at most 17 minutes
The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with a standard deviation 21.25 minutes. (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 97? The probability that the mean of a random sample of 6 time intervals is more than 97 minutes is approximately?
An IPHONE has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What is the mean time to failure? (b) What is the probability that 300 hours will pass before a failure is observed? (a) The mean time to failure is hours. (Type an integer or a decimal. Do not round.) (b) The probability that 300 hours will pass before a failure is observed is (Round to four decimal places as needed.)
Solve for (A) to (D)
Suppose a geyser has a mean time between eruptions of 71 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 17 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 78 minutes? The probability that a randomly selected time interval is longer than 78 minutes is approximately (Round to four decimal places as needed.)
Suppose a geyser has a mean time between eruptions of 84 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 27 minutes. Complete parts (a) through (c) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 97 minutes? The probability that a randomly selected time interval is longer than 97 minutes is approximately nothing. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 11 time intervals between eruptions has a mean longer than 97 minutes? The probability that the mean of a random sample of 11 time intervals is more than 97 minutes is approximately nothing. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 29 time intervals between eruptions has a mean longer than 97 minutes? The probability that the mean of a random sample of 29 time intervals is more than 97…
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 the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.63 and standard deviation 0.83. In USE SALT (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.63 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.63 and 3.00 (b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens
Data collected at Tornonto Pearson International Airport suggests that an exponential distribution with mean value 2.74 hours is a good model for rainfall duration. Round all answers to 4 decimal places. a) What is the probability that the duration of a particular rainfall event at this location is at least 3 hours? at most 6 hours? between 3 and 6 hours? b) What is the probability that rainfall duration exceeds the mean value by more than 1 standard deviation(s)? What is the probability that it is less than the mean value by more than 1 standard deviation?

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