At the sub part's questions, I only want the answer of the last one which is : e) For each case compute the probabilities that the design capacity will be exceeded. thanks 4. The traffic density X for the design of a highway is assumed to have a triangularprobability density function between 0 and 600 vehicles/hr with the peak at420 vehicles/hr. Compute the several estimates of the design density as:a. The mode of Xb. The mean of Xc. The median of Xd. The value of the X with the probability of exceedance 10%.e. For each case compute the probabilities that the design capacity will be exceeded.

Here, X is a random variable that denotes the traffic capacity and follows a triangular distribution…

Answered: 4. The traffic density X for the design…

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 you are a basketball coach and you've taken some measures on your starting five players. The two measures that you're most interested in right now are scores on a two-minute jump shot test (x) and time in seconds on a shuttle run (y). You want to determine a couple of things:1) On which variable (jump shots or shuttle run time) are your starters more consistent? 2) For player #1, is she a faster runner or better at jump shots? 3) For player #4, is she a faster runner or better at jump shots? Player # Jump shot score (x) Shuttle run time (y) 1 17 37 2 20 45 3 4 59 4 34 48 5 22 42
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
A researcher designed a study to test whether caffeine use enhanced performance time to run a 100 meter sprint. The participants (n=30) ran a 100 meter sprint before the consumption of caffeine on day 1 and then they ran another 100 meter sprint on the following day 2 after ingesting caffeine. The average time taken to run the 100 meter sprint on day 1 was (M1) and the average to run on day 2 after caffeine was (M2). The variance for this study was calculated to be (S2). Does caffeine use improve the running time in the 100 meter sprint (e.g., lower time)? Use all of the data provided to you below and test at an alpha of 0.05. M1 = 26.53M2 = 14.69S2 = 207.75n=30 a) state null and alternate hypothesis b) what is the critical value c) what is the obtained value d) conclusion
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