1. A bank operates a drive-up and walk-up window. Let X = the proportion of the time thedrive-up facility is in use and let Y = the proportion of the time the walk-up window is inuse. Suppose the operations manager uses the following distribution as the joint pdfbased on his historical data:f(x, y) = 5- 1/2(x + y²) if0(x + y²) if 0 ≤ x ≤ 1 and 0 ≤ y ≤1otherwise(a) Find the marginal pdf for X, fx(x).(b) Find the marginal pdf for Y, fy(y). (c) Are the random variables X and Y independent? Show work to support your answer.

Answered: Image /qna-images/answer/e5e72793-59bf-4f24-8850-5bc0af87a604.jpg

Answered: 1. A bank operates a drive-up and…

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 following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks SReceipts 3 50.306 31.28 6. 6. 16.24 12 6.526 15 0.98 18 0.92 21 0.335 0.076 27 0.044 Estimate the instantaneous rate of change of daily receipts 9 weeks after the opening day. Nnlo 147
Can you please anwer all parts of the question. The Conference Board produces a Consumer Confidence Index (CCI) that reflectspeople’s feelings about general business conditions, employment opportunities, and their own income prospects. Some researchers feel that consumer confidence is a function of median household income. Shown here are CCIs for 9 years and median household incomes for thesame 9 years published by the U. S. Bureau of the Census.
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5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
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The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly linear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. n=10 Ex-235 ²-5605 Ey-77.564 Ey²=603.80424 Exy-1810.155 a. Find an equation for the least squares line. b. Use your result from part a to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient.
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COMPUTE BY HAND NOT EXCEL, GOOGLE SHEETS etc 5. Write a brief paragraph about whether the in-home counseling is equally effective as the out of home treatment for two separate groups. Here are the data. The out come variable is level of anxiety after treatment on a scale from 1-10 Total In-home treatment X Out of home treatment Y X2 Y2 XY 1 3 7 9 49 21 2 4 6 16 36 24 3 1 7 1 49 7 4 1 8 1 64 8 5 1 7 1 49 7 6 3 6 9 36 18 7 3 5 9 25 15 8 6 6 36 36 36 9 5 4 25 16 20 10 1 2 1 4 2 11 4 5 16 25 20 12 5 4 25 16…
The population mean will always be the same as the mean of all possible X that can be computed from samles of size 24. True or false

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