Fasteners used in aircraft manufacturing are slightly crimped so that they lock enough to avoid loosening during vibration. Suppose that 55% of all fasteners pass an initial inspection. Of the 45% thatfail, 10% are so seriously defective that they must be scrapped. The remaining fasteners are sent to a recrimping operation, where 40% cannot be salvaged and are discarded. The other 60% of thesefasteners are corrected by the recrimping process and subsequently pass inspection.(a) What is the probability that a randomly selected incoming fastener will pass inspection either initially or after recrimping?(b) Given that a fastener passed inspection, what is the probability that it passed the initial inspection and did not need recrimping? (Round your answer to four decimal places.)

and Probability is a measure of how likely an event will occur. To calculate probability, the…

Answered: Fasteners used in aircraft…

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 control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for Pp 0.015), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 73% of the valves meet the specification, 21% are reground, and 6% are scrapped. Furthermore, assume that of those valves that are reground, 46% meet the specification, and 54% are scrapped. Given that a valve meets the specification, what is the probability that it was ground only once?
Air pollutants common in U.S. cities include fine particulate matter (PM) and ozone (O3). PM is measured as “inhalable” particles 10 micrometers in diameter or “fine inhalable” particles 2.5 micrometers in diameter. Suppose that studies show, for a particular region, that cities exceed PM2.5 standards 20% of the time and exceed ozone standards 10% of the time. Assume that PM2.5 and ozone measurements are statistically independent. A) Determine the probability that a city, selected at random, exceeds one of the standards. B) If a city exceeds the standards, what is the probability that it exceeds only the PM2.5 standard?
In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1482 and the standard deviation was 315. The test scores of four students selected at random are 1910, 1200, 2210, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
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Annabel, a retail analyst, has been following Under Armour, Incorporated, the pioneer in the compression-gear market. Compression garments are meant to keep moisture away from a wearer's body during athletic activities in warm and cool weather. Annabel believes that the Under Armour brand attracts a younger customer relative to other companies. The accompanying file includes data on the age of the customers and whether or not they purchased Under Armour (Purchase; 1 for purchase. 0 otherwise). Click here for the Excel Data File *-1. Use the appropriate statistical software to estimate a logistic regression model using Under Armour as the response variable and age as the predictor variable. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Intercept Age Coefficient a-2. Compute the predicted probability of an Under Armour purchase for a 20-year-old customer and a 30-year-old customer. Note: Round coefficient estimates to at least 4…
3. People lose muscle mass as they age. Suppose a person lost 7% of their muscle mass between ages 50 and 60 (based on what they had at age 50) and 8% of their muscle mass from 60 to 70 (based on what they had at age 60). What percentage of the muscle mass that they had at age 50 have they lost by age 70? The following approach is INCORRECT! Explain why. The person lost 1% and then lost 8%. Since 1% + 8% =15%, they lost 15%. Explanation: Work: Answer the question, supporting your answer with work.
Hypertension is a long-term medical condition in which the blood pressure in the arteries is persistently elevated. In elderly patients with hypertension, a high systolic pressure can cause a fainting episode, so X transporting them to an emergency clinic is imperative. Let be the systolic blood pressure of elderly patients with hypertension on arrival at the emergency clinic after a fainting episode. A random sample of such patients was considered. The measurements of each patient, in mm Hg, are given below. At the 5% level of significance, can we conclude from the data in this sample that the mean systolic blood pressure of all elderly hypertensive patients transported to an emergency clinic after a fainting episode is smaller than 175 mm Hg? patient 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 166 178 153 157 178 158 153 169 182 155 151 195 202 169 157 patient 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 X 173 161 155 154 178 200 168 196 180 191 167 170 161 191 166 patient 31 32 33 34 35…
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…

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