Suppose U is uniform on (0,1). Let Y = U(1 − U). (a) Find P(Y > y) for 0 < y < 1/4. (b) differentiate to get the density function of Y . (c) Find an increasing function g(u) so that g(U ) has the same distribution as U (1 − U ).

SET UP BUT DO NOT SOLVE the following system of linear equations:

A company sells three sizes of fruit trays. The small size contains 200 gr of watermelons and 100 gr of grapes. The medium size contains 400 gr of watermelons, 100 gr of pineapples, and 300 gr of grapes. The large size contains 600 gr of watermelons, 200 gr of pineapples, and 400 gr of grapes. Suppose that the company receives an order for 28 kg of watermelons, 6 kg of pineapples, and 19 kg of grapes. How many of each size tray does the company need to fill this order exactly?

At a large factory 1% of the workers are using drugs, an event we’ll call D. An employee has just been tested by a procedure that has a 3% false positive rate and has failed the test, F. Assume that the test is always positive for people who are using drugs. (i) Find P(D|F). (ii) Suppose that the employee failed the first test (F1). What is the probability he will fail the second test (F2), i.e., compute P(F2|F1). (iii) What is the probability he is using drugs if he fails both tests, i.e., P (D|F1 ∩ F2).

In a dice game a player first rolls two dice. If the two numbers are l ≤ m then he wins if the third roll n has l≤n≤m. In words if he rolls a 5 and a 2, then he wins if the third roll is 2,3,4, or 5, while if he rolls two 4’s his only chance of winning is to roll another 4. What is the probability he wins?

22% express an interest in seeing XYZ television show. KL Broadcasting Company ran commercials for this XYZ television show and conducted a survey afterwards. 1532 viewers who saw the commercials were sampled and 414 said that they would watch XYZ television show. What is the point estimate of the proportion of the audience that said they would watch the television show after seeing the commercials? At α=0.05, determine whether the intent to watch the television show significantly increased after seeing the television commercials. Formulate the appropriate hypothesis, compute the p-value, and state your conclusion.

So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then toss a fair coin 3 times.

If the first result is 5, 6, then toss a fair coin until two tails show up.

Then, what is the expected value of number of heads?

PLZ help me with this!!!

THX soooooo much!

design the experiment for model calibration and relation between george e.p.box and sir ronald a. fisher. what they had done in improving doe

Practice question 3.

1. If the actual support for presidential candidate A was 50%, what is the probability that the estimate obtained from a sample of 1,600 people would be less than 48%?
2. In the Presidential Poll, 1,600 people were interviewed, and 720 of those interviewed said they supported candidate A. Determine the point estimate for A’s support.
3. What is the mean error of this estimate?
4. Specify a 99% confidence interval for the (actual) percentage of support.
5. Specify a 99.9% confidence interval for the (actual) percentage of support.
6. If 50% of the votes are needed to win, how credible do you find A’s win?

Hello,

Please give me step by step answer (with screenshot) of SPSS using the ANOVA program to answer the following question. Chegg gave different answers.

A researcher would like to find out whether a particular diet affects a person’s cholesterol reading. She records the cholesterol readings of 23 men who ate cow meat for dinner every night, 24 men who ate chicken and 19 men who ate pig; her data appears in the table to the right. She wants to know whether the differences in the average readings are significant; i.e., whether the average reading of all men who eat cow is different from the average reading of those who eat chicken or whether these averages differ from the average reading of those who ate pig.



Cow Chicken Pig
364 260 156
245 204 438
284 221 272
172 285 345
198 308 198
239 262 137
259 196 166
188 299 236
256 316 168
263 216 269
329 155 296
136 212 236
272 201 275
245 175 269
209 241 142
298 233 184
342 279 301
217 368 262
358 413 258
412 240
382 243
593 325
261 156
280

The financial structure of a firm refers to the way the firm’s assets are divided by equity and debt, and the financial leverage refers to the percentage of assets financed by the debt. In a published paper, Tai Ma of Virginia Tech claims that financial leverage can be used to increase the rate of return on equity. To say it is another way, stockholders can receive higher returns on the equity with the same amount of investment by the use of financial leverage. The following data show the rates of return on equity using 3 different levels of financial leverage and a control level (zero debt) for 24 randomly selected firms
Financial Leverage
Control       Low      Medium        High
2.1               6.2          9.6           10.3
5.6                4.0          8.0             6.9
3.0               8.4          5.5             7.8
7.8               2.8         12.6            5.8
5.2               4.2           7.0            7.2
2.6               5.0           7.8           12.0
Compare the mean rates of return on equity at the different levels of financial leverage. Which of them are significantly different?

Suppose that a the normal rate of infection for a certain disease in cattle is 25%.
To test a new serum which may prevent infection, three experiments are carried out. The
test for infection is not always valid for some particular cattle, so the experimental results are
“inconclusive” to some degree–we cannot always tell whether a cow is infected or not. The
results of the three experiments are
(a) 10 animals are injected; all 10 remain free from infection.
(b) 17 animals are injected; more than 15 remain free from infection and there are two doubtful
cases.
(c) 23 animals are infected; more than 20 remain free from infection and there are three
doubtful cases.
Which experiment provides the strongest evidence in favour of the serum? Explain your answer.

A HW has to be assigned and evaluated in these Corona times. An Assistant with a mask will take sterilized homeworks from the Professor of the course and distribute it to the students. There are N students in the course. All the students are located in different places and since they are doing social distancing they do not go anywhere and stay at home and also do not meet any friend. The Assistant has to distribute the HW to all the students one by one. The assistant waits for the student to complete her/his homework and take it back. Student i needs xi minutes to complete the homework. Of course, it takes some time to go from one place to another and the assistant wants to minimize his time for doing this job. Therefore, he will take the HW from the Professor, go to each student exactly once and finally bring back together all the solutions (of the students) to the Professor at the very end. Please help this Assistant in this work to minimize his time for doing this duty.

Question 1. Model this problem as an IP problem. (Please clearly state that which are parameters and which are decision variables)

The mean weight of 500 students at a certain college is 151 lb and the standard deviation is 15 lb. Assume that the weights are normally distributed.
a.) How many students weigh between 120 and 155 lb? (ANSWER IN WHOLE NUMBER)

b.) What is the probability that randomly selected male students to weigh less than 128 lb? (ANSWER IN 4 DECIMAL NUMBER)

For developing countries in Africa and the Americas, let p₁ and p₂ be the respectiveproportions of babies with a low birth weight (below 2500 grams). A randomsample of n₁ = 2000 African women yielded y₁ = 750 with nutritional anemia anda random sample of n₂ = 2000 women from the Americas yielded y₂ = 650 womenwith nutritional anemia. We shall test H₀: p₁ = p₂ against the alternative hypothesisH₁: p₁ > p₂ at α = 0.05.

1. What is the type of the test?

a) Right-tailed

b) Left-tailed

c) Two-tailed

2. Calculate Observed Test Statistic

3. Find the P-value of the test

4.Find the Critical Value of Critical Region of the Test

5. Draw Your Conclusion of the Test at α = 0.05

a) Fail to Reject H0

b) Reject H0

The Sales Manager at City Real Estate Company is interested in describing the relationship between condo sales prices and the number of weeks the condo is on the market before its sells. He has collected a random sample of 17 low end condos that have sold within the past three months. These data are as follows:

1. Develop a simple linear regression model to explain the variation in selling price based on the number of weeks the condo is on the market.
2. Test to determine whether the regression slope coefficient is significantly different from 0 using a significance level equal to 0.05.
3. Construct and intrepret a 95% confidence interval estimate for the regression slope coefficient.