Suppose that x =wage income, and u =nonwage income, and suppose that (x, u) are bivariate normal with e(x) = 30, e(u) = 5, var(x) = 100, var(u) = 40, and cov(x, u) = 2. suppose total income is y = x + u. all variables are measured in thousands of dollars. you do not need a calculator for this problem, you do not need to simplify algebraic statements. a. what is the distribution of y given x? b. what is the distribution of x given y? c. a person reports her wage income to be x=20. calculate the probability that her total income is less than 20. you may express your result in terms of φ.d. a person reports total income to be y = 20. calculate the probability that her wage income is less than 20. you may express your result in terms of φ.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

hi there!

the answer will be d: 2

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).