Consider two populations A = f3; 5; 7; 9; 10; 16g and B = f8; 10;...

Consider two populations A = f3; 5; 7; 9; 10; 16g and B = f8; 10; 11; 15; 18; 25; 28g.

a) Using R, draw random samples (without replacement) of size 3 from each population, and simulate

the sampling distribution of the sum of their maximum. Describe the distribution.

b) Use your simulation to estimate the probability that the sum of the maximums is less than 20.

c) Draw random samples of size 3 from each population, and find the maximum of the union of

these two sets. Simulate the sampling dis- tribution of the maximum of this union. Compare

the distribution to part (a). In R, max(union(a, b)) returns the maximum of the union of

sets a and b.

d) Use simulation to find the probability that the maximum of the union is less than 20.

Expert Solution

Note: This question is already answered by me in the same way. So i am just copying my old answer.

orchestra answered 1 year ago

This problem is to be done in R. Consider two populations A = {3, 5, 7,...

This problem is to be done in R. Consider two populations A = {3, 5, 7, 9, 10, 16} and B = {8, 10, 11, 15, 18, 25, 28}. a) Using R, draw random samples (without replacement) of size 3 from each population, and simulate the sampling distribution of the sum of their maximum. Describe the distribution. b) Use your simulation to estimate the probability that the sum of the maximums is less than 20. c) Draw random samples of...

A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5]...

A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5] D = [1, -9, 5, -3] E = [3, 3, -1] Uz = 1/|z| ^z d(X,Y) = (Rθ) d = diameter R = Radius θ = Theta Find a. Uc b. d (D, C) c. Let P = B + 3E, UP = d. A x B e. 3B x E f. C x D

The vagus nerve is the cranial nerve numbering (a) 7 (b) 5 (c) 10 (d) 9.

Consider the following data set: 3 -5 5 7 9 10 -3 35 2 1 1...

Consider the following data set: 3 -5 5 7 9 10 -3 35 2 1 1 a) Determine by hand (you can use the calculator) the mean, median and mode of this data set. show enough details in your work for it to be clear that you did this work. b) Use MINITAB to obtain the above results for this data set (and only these results). c) By hand clearly determine the 5 number summary for this data set and...

Consider the following sorted int array: 1 3 4 5 7 9 10 12 If we...

Consider the following sorted int array: 1 3 4 5 7 9 10 12 If we search for the key value 10 in the array using the binary search algorithm, what is the sequence of indices that will be accessed in the array? (Hint: For a sublist between index values low and high, the middle index is calculated using: (low + high) / 2. So you need to show the sequence of indices of the middle index in each pass.)...

2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population...

2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population variance and the population standard deviation

Consider the following two bonds: a 5-year and a 10-year bond, each with a 7% coupon....

Consider the following two bonds: a 5-year and a 10-year bond, each with a 7% coupon. Both bonds currently sell at par and coupon payments are made annually (i.e., one coupon payment per year). (a) What is the current price of each bond? Hint: answer does not require calculations; read description of bonds carefully to determine what price must be (10 points) Suppose you buy the 10-year bond. One year later, interest rates decrease to 5%. (b) What will be...

#9. Consider again the data labelled problem 8. The population standard deviations of the two populations...

#9. Consider again the data labelled problem 8. The population standard deviations of the two populations are known to be respectively 18 and 15. You have to test the hypothesis that the mean of population 1 exceeds that of population 2 by more than 2 units, i.e. μ1-μ2>2. Test the hypothesis using α=3%. You will write ALL the steps involved in the hypothesis test as demonstrated in the lecture class: identify the test-statistic, give the value of sample statistics and...

3, 7, 8, 5, 6, 4, 9, 10, 7, 8, 6, 5 Using the previous question...

3, 7, 8, 5, 6, 4, 9, 10, 7, 8, 6, 5 Using the previous question 's scores, If three points were added to every score in this distribution, what would be the new mean? If three points were added to every score in this distribution, what would be the new standard deviation. Remember, you have already calculated population standard deviation in a previous problem. This problem requires two answers.

Activity Predecessor Optimistic Most Likely Pessimistic A 4 7 10 B 2 9 10 C A,B...

Activity Predecessor Optimistic Most Likely Pessimistic A 4 7 10 B 2 9 10 C A,B 2 5 8 D C 16 19 28 E C 6 9 24 F E 1 7 13 G C 4 10 28 H D,F 2 5 14 I G,F 5 8 17 J H,I 2 5 8 Determine the expected completion time for each activity. Construct the AON network for the activities of this contract and determine the critical path for the project.

Question