Suppose two random variables X and Y are independently distributed as Unif(0, 1). Le = arctan(Y/X), Z = X. (a) Find the joint pdf of (0, Z) with a clear specification of the support of the pdf. (b) Find P(0 < Z < 1/2|0). What's the value when 0 = T/4?

2:16 mylab.pearson.com/ + K For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click here to view the data set. Click here to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0- C. O D. Ay Ay Q 20- 20- 20+ 20- ÎNALS TALLE TALE DALE 10 10 10 10 0 ||| B. Critical Values for Correlation Coefficient = 0 Critical values for the correlation coefficient Print n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 n Done 0- O 0 Vol) 1 LTE 4G 45% - X 0- 3 0 :

#6

#3 What is the correct answer ?