There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in hours) is exponentially distributed with A = 104, and the lifetime of the second is lognormally distributed with µ = 6 and o² = 5.4. %3D a. Use a simulated sample of size 10,000 to estimate the probability that a circuit with the first design lasts longer than one with the second design. b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.

There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in hours) is exponentially distributed with A = 104, and the lifetime of the second is lognormally distributed with µ = 6 and o² = 5.4. %3D a. Use a simulated sample of size 10,000 to estimate the probability that a circuit with the first design lasts longer than one with the second design. b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Read the question carefully and give me both a&b right solution according to the question. A catalyst powder has the following weight distribution in the given particle size range: 10-20 µm, 10.0 %; 20-30 µm, 42.0 %; 30-40 µm, 33.0 %; 40-50 µm. 9.0 %; 50-80 µm, 5.9 %. From a log-probability plot estimate (a) the geometric mean diameter, (b) the standard deviation of that mean diameter.
Consider the six-component system displayed below. Let R 1(t), …, R 6(t) denote the reliability functions of the components. Assume the six components operate independently. (a) Find the system reliability function. (b) Assuming all six components have exponentially distributed lifetimes with mean 100 h, find the mean time to failure for the system.
The difference in the observed neurological disease rate, xbar, for a sample of veterans who served in Iraq is not “statistically significantly different” (alpha = .05), from the overall population disease rate for all U.S. veterans, mu0. This means: a. xbar = mu0b. The disease rates xbar and mu0 are not equal, but the size of the difference is not practically important, not big enough to matter. c. H0: mu for Iraq vets = mu0 was not rejected d. None of the above
Endocrinology In Section 2.10, we described Data Set BONEDEN.DAT concerning the effect of tobacco use on BMD. Note: 2.38-2.40 Involve computing a new variable C. Compute C using the formula given and then use STATA to produce the output requested. 2.38. For each pair of twins, compute the following for the lumbar spine: A = BMD for the heavier-smoking twin − BMD for the lighter-smoking twin = x1 − x2 B = mean BMD for the twinship = (x1 + x2)/2 C = 100% × (A/B) Derive appropriate descriptive statistics for C over the entire study population. 2.39. Suppose we group the twin pairs according to the difference in tobacco use expressed in 10 pack-year groups (0–9.9 pack-years/10–19.9 pack-years/20–29.9 pack-years/30–39.9 pack-years/40+ pack-years). Compute appropriate descriptive statistics, and provide a scatterplot for C grouped by the difference in tobacco use in pack-years 2.40. What impression do you have of the relationship between BMD and tobacco use based on Problem 2.39?
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic: t= (round to one decimal)
In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly, so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. . Clearly state an appropriate…
Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data
... 11:32 PM Tue Jan 19 * 48% AA A etext-ise.pearson.com PB Introduction - Orego... E еТеxt P Course Home - Diam... Pearson eText PRACTICE Find three numbers such that the second number is 8 less than triple the first number, the third number is five times the first number, and the sum of the three numbers is 118.
Use the information below to answer Questions #16 - 22. The article "Probabilistic Fatigue Evaluation of Riveted Railway Bridges" (J. of Bridge Engr., 2008: 237- 244) suggested the exponential distribution with A = 9 as a model for the distribution of stress range (MPa) in certain bridge connections. What proportion of stress ranges are at least 2 MPa? Round to four decimal places as needed.
In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. a. Clearly state an appropriate…
The type of battery in Jim's laptop has a lifetime X (in years) which follows a Weibull distribution with parameters α=2 and β=4. The type of battery in Jim's tablet has a lifetime Y (in years) which follows an exponential distribution with parameter λ=1/4.Find E(XY−2Y).(Answer as a decimal number, and round to 2 decimal places).
A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 22 subjects were assigned randomly to the treatment group and received the new experimental drug. The other 24 subjects were assigned to the control group and received a standard, well-known treatment. After a suitable period, the reduction in blood pressure for each subject was recorded. A summary of these data is: nn x¯x¯ ss Treatment group (new drug) 22 23.48 8.01 Control group (old drug) 24 18.52 7.15 Without using software, how would you estimate the number of degrees of freedom for this problem? Select one: use the larger value, 23, chosen from the two options 21 and 23 use the smaller value, 22, chosen from the two options 22 and 24 use the larger value, 24, chosen from the two options 22 and 24 use the smaller value, 21, chosen from the two options 21 and 23