A mortality study consists of 10 individuals. Deaths are recorded at the following times (in years):3 5 9 14 14 16 17 22 28 36Time until death is fitted to an exponential distribution with mean 0 using maximum likelihood.Ô, is the maximum likelihood estimate of Ø had the study been terminated after 10 years.Ôz is the maximum likelihood estimate of O had the study been terminated after 15 years.Ôz is the maximum likelihood estimate of 0 had the study been terminated after 20 years.Rank the maximum likelihood estimates of 0 in ascending order.ô, < ôg < ô,Aê, < ô, < ô2c) ô, < ô, < ô,n, < ôg < ô,Dô, < ôg < ô,

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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 one in six smartphone users have fallen prey to cyber-attack. We use a sample of 159 smartphone users. a-1. What is the expected value and the standard error of the sample proportion? Note: Round "Expected value" to 2 decimal places and "Standard error" to 4 decimal places. a-2. Is it appropriate to use the normal distribution approximation for the sample proportion? multiple choice Yes, because np ≥ 5 and n(1 - p) ≥ 5 Yes, because n ≥ 30 No, because np ≥ 5 and n(1 - p) ≥ 5 No, because n < 30 b. What is the probability that more than 24% of smartphone users in the sample have fallen prey to cyber-attack? Note: Round final answer to 2 decimal places.
Answer a, b, & c.
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 12 3 4 5 6 7 8 P(X) 0.23 0.149 0.13 0.08 0.057 0.022 0.026 0.306 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =
In a certain country, 47 percent of the population are on a strict diet. In a sample of 130 individuals, find the expected value and the variance for the number of individuals who are on a strict diet. Şelect one: O a. 56.4 and 29.89 O b. 70.5 and 37.37 O c. 56.4 and 32.38 O d. 61.1 and 34.87. O e. 61.1 and 32.38 Of. 65.8 and 37.37 O g. 65.8 and 34.87 O h. 70.5 and 29.89
Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0
Storm damage can occur to homes in any given year, with the amount of damage varying randomly from year to year. Let X represent the dollar value of storm damage in a given year. It is known that in 95% of the years, X = $0, while in 5% of the years, X = $20,000. What is the expected value and standard deviation of the damage in any given year?
Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30,50 and 100 from the same population. a. Using the midpoint labels of the three histograms, what would you say about the estimated range of population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 all in three histograms? b. The population distribution from which the samples were drawn is symmetric and mound shaped, with the top of the mound at 10,95% of the data between 8 and 12, and 99.7% of data between 7 and 13. How well does each histogram reflect these characteristics?
The average prison sentence for a person convicted of second-degree murder is 14 years. If the sentences are normally distributed with a standard deviation of 2.3 years, find these probabilities: A prison sentence is less than 16 years. A prison sentence is greater than 18 years A prison sentence is between 16 and 18 years A prison sentence is between 12 and 17 years
Calculate the lower confidence limit (LCL) and upper confidence limit (UCL) of the mean for each of the following. a. x= 275, n = 276, o = 20, and a = 0.05 b. x = 95, n = 134, o2 = 225, and a = 0.01 Click the icon to view the standard normal table of the cumulative distribution function. a. LCL = (Round to two decimal places as needed.)
For a normal population with µ = 60 and σ = 50, the distribution of sample means based on n = 25 will have an expected value of ____ and a standard error of ____
Indrilling a vertical wellbore, the spacing between major fractures are recorded. It has been found that this spacing is having a mean of 180o ft and a variance of 3,240,000 ft In the first 2000 ft drilling, there was no present of major fracture in the well. Determine the probability that there is a major fracture at the depth of 2000-3500 ft. Select one: a.0.57 b.o.43 C. O.19 do 82

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