Consider the following data:X-4P(X= x) 0.3-32 -1 00.1 0.2 0.2 0.2Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place.

We have given the following tablex-4-3-2-10P(X=x)0.30.10.20.20.2

Answered: Consider the following data: X P(X= x)…

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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I need help with part d of this question, while using excel. Thank you
= 4 10 A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.
A company has recorded the following customer inter-arrival times and service times for 10 customers at one of its single teller service lines. Assume the data are exponentially distributed and the 10 data points represent a reasonable sample. Refer to the information below. All time in minutes Inter- Customer Service arrival 11.08 2.2 2. 7.5 3.5 6. 1.1 4 5.75 12.5 5. 8.5 6. 9.15 2.7 15.5 5.3 8. 13 8.5 6. 10.5 4. 10 1.5 What is the mean arrival rate per hour ()? (Use two decimals) Refer to Scenario 3. What is the mean service rate per hour (u)? (Use two decimals)
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Q1 An engineering student wants to study the impact of temperature and humidity on yield. The following data was recorded by the student. S.N Temperature Humidity Yield 1 40 57 112 2 45 54 118 3 50 54 128 4 55 60 121 60 66 126 65 59 136 7 70 61 144 8 75 58 142 80 59 149 10 85 56 165
A federal regulatory agency is investigating an advertised claim that a certain device can increase the gasoline mileage of cars (mpg). Ten such devices are purchased and installed in cars belonging to the agency. Gasoline mileage for each of the cars is recorded both before and after installation. The data are recorded here. Car 1 2 3 4 5 6 7 8 9 10 n x s Before (mpg) 19.1 29.9 17.6 20.2 23.5 26.8 21.7 25.7 19.5 28.2 10 23.22 4.25 After (mpg) 25.8 23.7 28.7 25.4 32.8 19.2 29.6 22.3 25.7 20.1 10 25.33 4.25 Change (mpg) 6.7 −6.2 11.1 5.2 9.3 −7.6 7.9 −3.4 6.2 −8.1 10 2.11 7.54 (a) The cars in the study appear to have grossly different mileages before the devices were installed. Use the change data to test whether there has been a significant gain in mileage after the devices were installed. Use ? = .05. H0: ?after ?before Ha: ?after ?before t = p-value
A score S is used to predict whether a disease is present. If the score is greater than a threshold value, the corresponding person is classified as ill, otherwise as healthy. Here, the scores S; for 9 persons are given. Furthermore, it is known whether the persons are actually ill (Y, = 1) or not (Yi = 0). The data look as follows: S; | Y; 0.3 0 1.2 1 0.7 0.8 1 0.1 0.4 1 1.1 0 0.2 0 1.4 1 (a) Draw by hand the ROC curve for the given data. Explain your procedure and the calcu- lation methods. (b) Calculate the area under the curve (AUC) by hand. Does this value indicate a good or bad classification? (c) Calculate the partial area under the curve (PAUC) if the specificity is to be at least 0.65. How do you judge this value?
W 1. X A tablet computer manufacturer claims that its batteries last an average of 10.5 hours when playing videos. The quality control department randomly selects 20 tablets from each day's production and tests the batteries by playing a video repeatedly until the battery dies. The quality control department will reject the batteries from that day's production run if the mean battery life is less than 10.5 hours. Here are the data from one day: 10.3 10.0 10.3 10.6 10.5 10.3 10.1 10.6 11.5 10.3 10.3 12.7 10.6 11.3 13.9 12.5 12.4 10.8 10.2 12.2 The quality control department will test the hypotheses where p true mean battery life (in hours) while playing videos for tablets made during that day. Check that the conditions for performing the test are met. Assume the population is normally distributed. 3 e d C Ho:μ = 50 Ha:μl < 50 $ 4 f 25 % V t 6 (6 b Y h ∞ 7 u n * 00 8 ¡ m ( 9 k O Sign out 1 р Mar 29 7
A pharmaceutical company has two possible treatments for arthritis, called Drug A and Drug B. The company does a matched pairs experiment where they give the two drugs to similar people and then measure their improvement on a scale of 1-50. The data for a sample of size nine is here: Is there statistically significant evidence at the 0.05 level that Drug B results in more improvement than Drug A?The X for the sample: The S for the sample: The P value the conclusion
Listed below are the numbers of deaths resulting from motor vehicle crashes. Let x represent the year, with 1975 coded as x = 1, 1980 coded as x = 6, 1985 coded as x = 11, and so on. Construct a scatterplot and identify the mathematical model that best fits the given data. Use the best model to find the projected number of deaths for the year 2028. x (year) 1975 1980 1985 1990 1995 2000 2005 2010 D y (deaths) 44,533 51,122 43,809 44,590 41,798 41,960 43,436 32,697 (...) Choose the correct graph below. O A. O B. O C. D. 52000- 52000- 52000- 52000- DDDD 00 X X X X 32000+ 32000 32000+ 32000+ 0 40 0 40 0 40 0 40 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y= X B. y = + In x O C. y = + O D. X y=² O E. y = x² + X + Use the best model to find the projected number of such deaths for the year 2028. The projected…
(6) Find the mean , variance, autocorrelation function P for the following models: a. Y= 0.6Y+e,- 0.4e t-1 1 1 b.Y, = 2+e;-¿e,s*7 4

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Consider the following data: X P(X= x) -4 -3 2 -1 0 0.3 0.1 0.2 0.2 0.2 Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place.