Suppose that 44% of the population of U.S. voters favors a particular presidential candidate. If a random sample of 40 voters is chosen, approximate theprobability that fewer than 15 favor this candidate. Use the normal approxlmation to the binomial with a correction for continuity.Round your answer to at least three decimal places. Do not round any intermediate steps.(If necessary, consult a list of formulas.)Continueaceesc24%@236423

Solution-: Given: p=0.44, n=40 We find the P(X<15)=? [Use normal approximation to the binomial…

Answered: Suppose that 44% of the population of…

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 that a new treatment is successful in curing a common ailment 75% of the time. If the treatment is tried on a random sample of 85 patients, approximate the probability that at most 64 will be cured. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places, Do not round any intermediate steps. (If necessary, consult a list of formulas.)
DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. Answer the following questions, performing all computations with Excel functions.
The probability that a student passes an exam is 0.92, given that he studied. The probability that he passes the exam without studying is 0.15. As he is a diligent student, we know that the probability that the student studies for an exam is just 80%. Given the student passed the exam, determine the probability that he studied. Use a calculator to simplify your answer, and round it to three decimal places.
Consider a cohort of patients receiving an experimental two-year treatment for a serious disease. Suppose that only 20% of the patients survive to the end of the second year. Assume CFM (constant force of mortality) within each year of treatment. Find the probability that a patient who survives the first four months dies by the end of the 20th month. Round to 4 decimal places.
Suppose that 12% of the population of the U.S. is left-handed. If a random sample of 190 people from the U.S. is chosen, approximate the probability that at most 24 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
Imagine a population evolving by genetic drift, in which the frequency of allele K is 0.6. What is the probability that at some point in the future allele K will drift to a frequency of 1.0? Express your answer as a number between 0 and 1.
Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551
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…
Suppose 5 students are going to take a test independently from each other and that the number of minutes that any student needs to finish the exam has an exponential distribution with mean 80.If the test starts at 9 a.m., determine the probability that at At least one of the students finishes the exam before 9:40 am.
Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 134 people from the U.S. is chosen, approximate the probability that at most 16 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places.
Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.b. Again assuming one advisor, what is the probability that there are more than tenstudents in the clinic at a random point in time? What is the probability that the timespent in the clinic exceeds 30 minutes?.
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.…

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