Question 2. Normal Distributions [It is known that the average time spent by a tourist at Eiffel Tour is normally distributed randomvariable with mean µ = 96 (minutes) and variance o² =289(a) Find the probability that the time spent is less than 120 minutes. Use the Minitab to answerthe question. Write the steps needed in Minitab and copy the Minitab output here.(b) Find the probability that the spent is between 80 and 100 minutes.(c) What proportion of SAT scores are either less than 85 or more than 110 minutes?(d) Determine the symmetric interval around the mean within which is 92% of X.

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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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Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 146 137 140 132 132 Left-arm 183 172 179 156 149 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic. Identify the P-value.
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviations of 16 liters. I What is the probability that daily production is less than 43 liters (round your answer to 4 decimals) CS Scanned with CamScanner
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with μ = 85 and σ = 25. After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult under 50 years old, after a 12-hour fast, x is less than 130?
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Q2: Suppose the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes)² 1- What is the probability that a measurement will exceed 13 milliamperes? 2- what is the probability that a current measurement is between 9 and 11 milliamperes?
Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the z-value for a score of 80? -2.0 -0.4 1.0 2.0 0.4
5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
QUESTION 1 Manama cement factory produces precast cement blocks, last year's record showed the mean weight per block as 21.05 KG. This year they have sampled 50 units, and the maximum acceptable weight per block was 29.85, with a variance of 13.51 KG. Calculate the z value associated with this sample? (Write your answer in 2 decimals places e.g. 0.99)
Can you please help me with parts C, E, and F?
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.6 and B = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.) at most 250 less than 250 more than 300 0.7520 0.7520 0.1065 x X X (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) 0.6312 (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) 191 Xhr
DCX Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Letting the time unit be one minute, (a) Calculate the mean flight time (x) and the standard deviation (ax) of the flight time. (Round your answers to 4 decimal places.) ux OX (b) Find the probability that the flight time will be within one standard deviation of the mean. (Round your answer to 5 decimal places.) P = 18 Fo MAR LO 5 li Ⓒ A WD Show
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with μ = 85 and σ = 25. After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult under 50 years old, after a 12-hour fast, x is more than 60?

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