Q2. In some factory we have the following statistics of defects on doors over a a week. Iethe random variable the counts defects.XFrequenev|0.731.2016152.3.Find the expected vahue E(7) in that district.

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Answered: Q2. In some factory we have the…

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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Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 21.0 15.1 19.0 17.6 17.5 15.5 14.7 17.1 y 87.8 71.4 94.1 84.7 81.4 75.2 69.7 82.0 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) %3D X = y = + %3D Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to four decimal places. Round your…
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3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
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Suppose we have a normal disbn. with mean=10 and variance=5. We draw a sample size of size 8 from this distribution and compute the sample variance, s². What is the probability that s² > 10?
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In an experiment on children’'s behavior, children are placed in an area with 3 toys. The chart below gives the probability distribution of the number X of toys the children play with. 4. Toys 1 Probability .06 .35 .28 .31 What are the mean value, variance, and standard deviation for this distribution?
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C. 3.46 D. 2.58 For numbers 6 - 10, refer to the following problem. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard deviation of 4 minutes. 6. What is the corresponding z-score of 12.5 minutes? A. 0.63 B. 0.62 C. -0.62 D. -0.63 7. What is the probability that a student completes the physical fitness in less than 14 minutes? A. 40.52% B. 40.13% C. 39.74% D. 39.36% 8. What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A. 11.64 min B. 16 min C. 17.53 min D. 18.36 min 9. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what is the slowest time that a student can have to qualify for the exemption? A. 8.40 min B. 8.42 min C. 8.44 min D. 8.46 min 10. What is the fastest completion time of the students who belong to the longest 25% of all completion times?…
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Q2. In some factory we have the following statistics of defects on doors over a a veek. Ie the random variable the counts defects. Frequency 73 20 0. 16 15 2. 3. Find the expected value E(7) in that district.