All electrical components, especially off-the-shelf components do not match their nominal value. Variations in materials and manufacturing as well asoperating conditions can affect their value. Suppose a circuit is designed such that it requires a specific component value, how confident can we bethat the variation in the component value will result in acceptable circuit behavior? To solve this problem a probability density function is needed to beintegrated to determine the confidence interval. For an oscillator to have its frequency within 5% of the target of 1 kHz, the likelihood of thishappening, (1 - a), can then be determined by finding the total area under the normal distribution for the range in question:2.9 1(1 α) =-S²e-0.5x²dx-2.15√2πUsing Simpson's 1/3 Rule with a number of segment n = 6, determine the approximate value of the integration. Express your answer up to five (5)decimal places. Present your solution in your answer sheets.

Consider the given integral, 1-α=∫-2.152.912πe-0.5x2dx The Simpson's 13 rule is defined as,…

Answered: All electrical components, especially…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A team of government researchers would like to determine whether a new tax on cigarettes has any effect on people’s smoking behavior. Specifically, they are expecting that by increasing the price of cigarettes, people’s will buy fewer packs of cigarettes (ultimately leading to decreases in cigarette smoking). During the year before the tax was imposed, stores located in rest areas on the state highways reported selling an average of µ = 410 packs per day. The distribution of daily sales was approximately normal. For a random sample of n = 25 days during the first year following the new tax, the researchers found an average of x̅= 380 packs per day for the same stores, with a standard deviation of s = 60. Is the sample mean sufficient to conclude that there was a significant decrease in cigarette purchases after the new tax? Use a one-tailed test with α = .01.
Section 5.4 (please help with TI-84 calculator) :) The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=61, find the probability of a sample mean being less than 20.1 if mean is 20 and standard deviation is 1.18. For a sample of n=61, the probability of a sample mean being less than 20.1 if mean is 20 and standard deviation is 1.18. Round to 4 decimal places
Solve the following problems completely. Box and round your final answer up to 4 decimal places. The probability is e.4 that a calibration of a transducer in an electronic instrument does not conform to specifications for the measurement system. Assume the calibration attempts are independent. What is the probability that at most seven calibration attempts are required to meet the specifications for the measurement system?
Question 1 Please use simple probability rules
have 15mins help ASAP!
Consider a binary response variable y and a predictor variable x. The following table contains the parameter estimates of the linear probability model (LPM) and the logistic regression model, with the associated p-values shown in parentheses. Variable Intercept x LPM Logistic -6.90 (0.06) 0.19 (0.06) a. Test for the significance of the intercept and the slope coefficients at the 5% level in both models. Coefficients Intercept Slope -0.67 (0.02) 0.07 (0.03) LPM Logistic b. What is the predicted probability implied by the linear probability model for x=20 and x= 35? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in %).
Example 27 : It is desired to estimate the mean number of hours of continuous use until a centain computer will first require repairs. If it can be assumed that o= 48 hours. How large the sample will be needed so that one will be able to assert with 90% confidence that the sample mean is off by at most 10 hours.
There are many engineering properties which cannot be negative, and so cannot be modeledusing a normal distribution (since the normal distribution always has some probability of beingnegative). One such engineering property is the tensile strength of glue – it doesn’t makesense that a glue’s tensile strength would be negative. A common non-negative distributionused in engineering models is the lognormal, which is strictly non-negative and has a simplerelationship with the normal distribution. Suppose that a particular type of glue is is lognormallydistributed with mean 10 MPa and coefficient of variation 25%. If a random sample of thisglue is tested,a) What is the probability that its tensile strength will lie between 6 and 12 MPa?b) Suppose that the design tensile strength of this glue is its 10th percentile. What is thisglue’s design tensile strength? (Note: the 10th percentile is the value, x10, such thatPX < x10= 0
Section 9.2 Question #8 Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent 77 91 90 78 57 100 61 87 69 89 83 83 55 81 73 101 61 Past 90 89 93 94 64 85 85 92 88 91 89 91 Let μ1 be the recent times and let μ2 be the past times. What are the null and alternative hypotheses? A. H0: μ1 = μ2 H1: μ1 ≠ μ2 B. H0: μ1 < μ2 H1: μ1 = μ2 C. H0: μ1 = μ2 H1: μ1 > μ2 D. H0: μ1 ≠ μ2…
Consider a simple logistic model in which the response variable is attendance at a conference (yes = 1; no = 0), and the sole independent variable is a college degree (degree = 1; no degree = 0). The estimated odds ratio for the college degree variable is 1.25. What is its proper interpretation?
Typically, the probability of obtaining the calculated statistical result will be less than when the results are significant. a. the critical F value b. alpha c. the P value d. the calculated F value
Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.

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