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 isnormally distributed with standard deviation 21.25 minutes, complete parts (a) through (f)Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).(b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 97 minutes?The probability that the mean of a random sample of 6 time intervals is more than 97 minutes is approximately(Round to four decimal places as needed)(c) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 97 minutes?The probability that the mean of a random sample of 13 time intervals is more than 97 minutes is approximately(Round to four decimal places as needed)(d) What effect does increasing the sample size have on the probability? Provide an explanation for this resultIf the sample size increases, the probabilitybecause the variability in the sample mean(e)What might you conclude if a random sample of 13 time intervals between eruptions has a mean longer than 97 minutes? Select all that apply.A. The population mean is probably greater than 85 minutesB. The population mean is probably less than 85 minutesC. The population mean must be less than 85 minutes, since the probability is so lowD. The population mean is 85 minutes, and this is just a rare sampling.

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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...

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The times taken by workers to assemble a certain kind of cell phone are normally distributed with mean 19.5 minutes and a standard deviation 3.8 minutes. Find the probability that one such phone will require less than 15.7 minutes in assembly The probability that a phone will require less than 15.7 minutes in assembly is ( Round to three decimal places as needed.)
Suppose a geyser has a mean time between eruptions of 91 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 20 minutes. Complete parts (a) through (e) below. Question content area bottom Part 1 (a) What is the probability that a randomly selected time interval between eruptions is longer than 101 minutes? Part 2 The probability that a randomly selected time interval is longer than 101 minutes is approximately enter your response here. (Round to four decimal places as needed.) Part 3 (b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 101 minutes? Part 4 The probability that the mean of a random sample of 10 time intervals is more than 101 minutes is approximately enter your response here. (Round to four decimal places as needed.) Part 5 (c) What is the probability that a random sample of 20 time intervals between eruptions has a mean longer than 101…
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mean of 0.4 micrometer and standard deviation of 0.15 micrometer. The line width of for semiconductor manufacturing is assumed to be normally distributed with a (a) What is the probability that a line width is less than 0.64 micrometer? (b) What is the probability that the line width is between 0.45 and 0.69?
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Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of + 18 points, with a standard deviation of 68 points. In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the change in the sample mean score is less than 10 points? Click the icon to view the table of normal curve areas. Normal Curve Areas P(x< 10) = (Round to three decimal places as needed.) 0. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0000 .0398 .0793 .1179 .1554 .1915 .0 .1 .0040 .0438 .0080 .0478 .0871 1255 .0160 .0557 .0948 .1331 .1700 2054 .0120 .0517 .0199 .0596 0987 1368 .1736 2088 .0239 .0636 1026 .1406 1772 2123 0279 .0675 1064 1443 1808 2157 .0319 0714 .1103 1480 1844 2190 0359 .0753 1141 1517 1879 2224 .2 .3 .0832 .1217 .1591 1950 .0910 1293 1664 1628 .5 .1985 2019 .2257 .2580 .2881 .3159 3413 2291 2611 .6 .7 .8 .9 1.0 2324 2642 2939 3212 3461 2357 2673 2967…
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Can you please check my work

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