Consider the following statements.(A) Let A be an event in a sample space 2. Then A cannot be independent of itself.(B) Let X1,..., X, be an iid sample with population mean u and population variance o?.Then the sample mean X is an unbissed estimator for u and sample variance S is anunbiased estimator for o?.(C) For a test at significance level a, the p-value is the probability that Ho is true. Therefore,when p-value

A) A can be independent of itself only if P(A) = 0 or 1 because the fact that two events are…

Answered: Consider the following statements. (A)…

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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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
The president of Doerman Distributors, Inc., believes that 28% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be between 0.16 and 0.40 (to 4 decimals)? What is the probability that the sample proportion will be between 0.21 and 0.35 (to 4 decimals)?
3. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Suppose the demand for a company’s product in week 1,2, & 3 are each normally distributed. The means are 50, 45, and 65. The standard deviations are 10,5, and 15. Assume these 3 demands are probabilistically independent. Suppose the company has 180 units in stock, and it will not be receiving any more shipments from its supplier for at least 3 weeks. What is the probability that stock will run out during the 3 week period? How many units should the company have in stock, so that it can be 98% certain of not running out during the 3 week period , assuming it will not receive any more shipments during this period?
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
Suppose you were given this Joint Probability Distribution: x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength y=number of times city name is stated 1 2 3 Marginal probability distribution of y 4 0.15 0.1 0.05 0.3 3 0.02 0.1 0.05 0.17 2 0.02 0.03 0.2 0.25 1 0.01 0.02 0.25 0.28 0.2 0.25 0.55 Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Find the conditional mean and variance of Y|3 Mean = Variance =
Suppose the above bell curve (normal distribution) represents the voters and their viewpoints (the "height" of the curve represents the number of voters with that particular view) on the highly debated issue for an upcoming election for a member of Congress. The two candidates's (A and B) views on the issue are as indicated; your opinion on the issue is represented by the "green line." Who will you vote for in the election? Why do you prefer that candidate over the other? According to the Median Voter Theory, which candidate will win the election? Why will that candidate win (why will they receive the majority of votes)?

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