I need the explanation step by step

40. Over the last ten years a company's annual earnings increased year over year seven times and decreased year over year three times. You decide to model the number of earnings increases for the next decade as a binomial random variable. You estimate the probability of success, defined as an increase in annual earnings as 0.7. What is the probability that earnings will increase in exactly five of the next 10 years?

24. You are given following information about random variables X and Y: Mean of X = 0.15 Mean of Y =.12 Variance of X=20 Variance of Y =25 Covariance between X and Y = -.2 You form two random variables U= 0.5X +3 Var(u) = V=2Y+0.5 = The variance of U is closest to?

random variables X and Y: following information

25. Vou are given Mean of X = 0 Mean of Y = 12 Variance of X =,20 Variance of Y =.25 Covariance between X and Y = You form two random variables U= : 0.5X +3 V=2Y +0.5 The covariance between U and V is closest to? v) ou luy) (2140,5) -0.62 _0 44 -0.20 -0.08 None of above CON (0.54

26. You are given following information about random variables X and Y: Mean of X = 0.15 Mean of Y =.12 Variance of X=.20 Variance of Y = .25 Covariance between X and Y = -.2 You form two random variables U= 0.5X +3 V=2Y +0.5 The correlation between U and V is closest to?

22. You are given the following covariance Matrix: fund The standar 625 -125 196 125 d deviation of equally weighted portfolio of A and B is the closest to?

24. You are given following information about random variables X and Y: Mean of X = 0.15 Mean of Y =.12 Variance of X=20 Variance of Y =25 Covariance between X and Y = -.2 You form two random variables U= 0.5X +3 Var(u) = V=2Y+0.5 = The variance of U is closest to?

27. ERL corporation is going to declare its earnings per share in couple of days. There is a 40% probability that ERL will have earnings per share greater than $3.00. The probability that ERL's credit rating will be upgraded is 0.70 if earnings per share are greater than $3.00 and 0.20 if earnings per share is less than equal to $3.00. If ERL's credit rating has been upgraded, what is the updated probability that its earnings per share are greater than $3.00?

34. Ten percentage of college graduates stay with the same company for more than five years. For a random sample of six recentlv hired college graduates what is the probability that exactly two will stav with the same company tor more than five years?