The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solidinsulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.6 and B = 220.(a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.)at most 250less than 250more than 3000.75200.75200.1065xXX(b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.)0.6312(c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.)191Xhr

Given that The Weibull distribution is widely used in statistical problems relating to aging of…

Answered: The Weibull distribution is widely used…

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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QUESTION 27 An investor has decided to form a portfolio by putting 55% of his money into Tesla's stock and 45% into Honda's stock. The investor assumes that the expected returns will be 18% on Tesla and 12% on Honda, and that the standard deviations will be 15% and 10%, respectively. What is the expected (mean) return on the portfolio? O E [Return on portfolio] = 0.135 %3D O E [Return on portfolio] = 0.204 %3D O E [Return on portfolio] = 0.153 O E [Return on portfolio] = 0.351 %3D
The per capita energy consumption level (in kilowatt- hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 4th percentile? (b) What consumption level represents the 23rd percentile? (c) What consumption level represents the third quartile? The ... 317 μ=2317 kWh o=582.4 kWh G 2317 Kilowatt-hours X 4317 (a) The consumption level that represents the 4th percentile is kilowatt-hours. (Round to the nearest integer as needed.) O
QUESTION 4 The time to failure of a typical household refrigerator has the following PDF Jo.000192t2 for 0sts 25 yr f(t) elsewhere Find: a. R(15) b. Construct the hazard rate function c. What is the probability that a failure will occur between the second and the tenth year? d. What is the MTTF? Attach File Browse Local Files Browse Content Collection
Question 5: A test engineer discovered that the cumulative distribution function of the lifetime of an equipment (in years) is given by Fx(x)= 1-e VS), x20. What is the expected lifetime of the equipment? 直。
Question 4 You are conducting a study to see if the probability of catching the flu this year is significantly different from 46%. With H:p 46% you obtain a test statistic ofz = 1.307. Find the p-value accurate to 4 decimal places, p-value =
QUESTION 25 Let X have a normal distribution with μ = 100 and σ = 20. Between which two values of X is the central 70% probability? (59, 138) (82, 156) (66, 110) (73, 127)
Question 8, section 6.1
QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A To A To B O A B B Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.25 B 0.80 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A B A B A B A B A B (0.25)(0.75)-0.1875 (0.25)(0.25) 0.0625 (0.75)(0.20) 0.1500 (0.75)(0.80)-0.6000 (0.75)(0.75)=0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25) 0.0625 (0.25)(0.75)-0.1875 (0.75)(0.20) 0.1500 (0.75)(0.80) 0.6000
A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is 0.94. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.03. It is estimated that 5% of the population who take this test have the disease. (Round your answers to three decimal places.) (a) If the test administered to an individual is positive, what is the probability that the person actually has the disease?(b) If an individual takes the test twice and the test is positive both times, what is the probability that the person actually has the disease? (Assume that the tests are independent.)
Question 14 The daily sales at a convenience store produce a distribution that is mean of 1240 and a standard deviation of 134. MacBo ormal distribution, the area to the right of z = 1.55, ro Question 13 The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1240 and a standard deviation of 134. History The probability that the sales on a given day at this store are between $1,200 and $1,300, rounded to four decimal places, is: Help
What happens to the percentile ranks as one moves from left to right on the X-axis? Question 29 options: The values of the percentile ranks increase. The values of the percentile ranks decrease. The values of the percentile ranks decrease, but then increase after passing the midpoint of the distribution. The values of the percentile ranks increase, but then decrease after passing the midpoint of the distribution.
Unit 3, Topic 12, Exercise 12-06 Pregnancy Durations Data from the National Vital Statistics System reveal that the distribution of the duration of human pregnancies (i.e., the number of days between conception and birth) is approximately normal with 270 and standard deviation 17 days. Use this normal model and a table of standard normal probabilities to determine the proportion of all pregnancies that come to term (have a mean duration) in the following number of days. Round your answers to four decimal places. a. Less than 247 8 days (approximately months). b. More than 272 days (approximately months). c. More than 300 days. d. Between 260 and 280 days.

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