3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at aspecific intersection during a 20-second time period, is characterized by the following discrete probabilityfunction:6xf(x) = e-6, for x = 0,1,2, ...a) Find the probability that in a specific 20-second time period, more than 8 cars arrive at theintersection.

3) Given,X = the number of cars that arrive at a specific intersection during a 20-second time…

Answered: 3. Suppose it is known from large…

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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Recall that 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. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 228 numbers from this file and r = 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1.(i) Test the claim that p is more than 0.301. Use ? = 0.10 (a) What is the value of the sample test statistic? (Round your answer to two decimal places.) (b) Find the P-value of the test statistic. (Round your answer to four decimal places.)
1.) The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours which is found to be uniformly distributed. Let x be the time needed to fix an A/C unit. b.) Find the probability that a randomly selected A/C unit repair requires less than 3.5 hours?
A maker of soft-drinks is considering the introduction of a new brand. He expects to sell 50,000 to 1.00,000 bottles of its soft drink in a given period according to the following probability distribution: 50 60 70 80 90 100 No. of Bottles sold (in '000) : Probability If the product is launched he will have to incur a fixed cost of would give him a profit of 0-13 0-20 0-35 0-22 0-08 0-02 48,000. However, each bottle sold 1-25. Should he introduce the new brand?
Recall that 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. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. 1) Test the claim that p is more than 0.301. Use α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…
Recall that 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. Now 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 = 223 numerical entries from the file and r = 48 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.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301 H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301 H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling…
1. Given the value X which is a random variable that states the number of visitors in a restaurant, with P(X= x) = C a. Determine the value of C such that the function is a discrete probability distribution b. Calculate the probability that there will be at least 2 costumers at the restaurant at a time ; x = 0, 1, 2, ...
Recall that 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. Now 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 = 225 numerical entries from the file and r = 51 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.(i) Test the claim that p is less than 0.301. Use ? = 0.05.
Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.0per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. a) The probability that the operator is busy = (round your response to two decimal places).
Recall that 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. Now 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 = 220 numerical entries from the file and r = 49 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. A) What is the value of the sample test statistic? (Round your answer to two decimal places.)B) Find the P-value of the test statistic. (Round your answer to four decimal places.)
action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4

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