23.Through a point B on the y-axis whose ordinate is possible andequal to a, a straight line is drawn in a direction taken at random in the< 0 <44O being the inclination of the line to B0. Examine theinteval-probability distribution of the intercept x on the x-axis.

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Answered: 23. Through a point B on the y-axis…

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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can you solve this for me by showing step by step for each question? Acme Food manufactures and sells bags of doughnuts whose weights follow a normal distribution with a mean of 400g and standard deviation 8g. a) Find the probability that a bag of doughnuts weights less than 410g b) Find P (X>412) c) Find P (395 < X < 404) d) The company can be prosecuted if the bags are less than 380g, if the company sells 50 bags per day find the expected number of bags under this weight. e) On a typical day 1.22% of bags are rejected as they are too heavy. Find the rejection weight.
Suppose that at a subway station, the arrival rate starts at 1 at 5:00 AM. It increases to 4 at 7:00 AM, increases to 6 at 8:30 AM, and decreases to 3 at 10:30 AM until noon, which is the time when first shift employees leave work, also consider that the arrival rate is constant between these points. a) What is the distribution of the number of arrivals on the day (From 5 to 12)? b) What is the probability that no one arrives before 8:00 AM?
Background: A dog named Zip is often tied to a zipline. Fig 1A: Top view of yard. When tied, Zip travels in such a way that the hook on the line slides back and forth as he moves. A coordinate system is defined as described in the picture to the right. Figure 1A shows a top view and Figure 1B shows a Fig 1B: Sideview of zipline. sideview. A measurement system is connected to the hook. It periodically records the position on the line during the time Zip is connected to it. After 50,000 x=0 location of hook observations (electronically recorded) a continuous model for where the hook is located was developed by - 10m < x < 10m a team of engineers. They came up with the model that p(x) = {A + 10) otherwise 1) Sketch a graph for p(x). Do you need to fill in this form? You can use Fill & Sign to complete form yourself or get others to sign. 2) What is the average position of the hook on the zipline?
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
If a point randomly located in an interval (a,b) and if y denotes the location of the point, then y is assumed to have a uniform distribution over (a,b). A plant efficiency expert randomly selects a location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is a). within 25 feet of the end of the line? b.) within 25 feet of the beginning line? c.) closer to the beginning of the line than to the end of the line?
Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete part a through c a) If 1 adult female is randomly selected. Find the probability that her pulse rate is less than 82 beats per minute (Round to four decimal places as needed) b) If 4 adult females are randomly selected, find the probability that they have a pulse rates with a mean less than 82 beats per minute (Round to four decimal places as needed) c) Why can the normal distribution be used in part (b) even though the sample size don't exceed 30?(options are the image below)
please show steps neatly with answer.
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Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.
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27 15. In a triavariate distribution, if r2 r3 = r31 = C. show that c lies between-and 1. = P12 = r23 = ľ31 = c (Given).

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23. Through a point B on the y-axis whose ordinate is possible and equal to a, a straight line is drawn in a direction taken at random in the < 0s 4 O being the inclination of the line to BO. Examine the interval probability distribution of the intercept x on the x-aris.