14.) Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 47 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 43 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds.

69.50%

Step-by-step explanation:

Given:  

Ayrshire cows:  

E(X) =μ  = 47

SD(X) = σ = 6 Var (X) = 6^2 = 36  

Jersey cows:  

E(Y) = μ = 43

SD(Y) = σ  = 5 Var(Y) = 52 = 25

Properties mean, variance and standard deviation:  

E(X +Y) = E(X) E(Y)

V ar(X +Y) = Var(X) + Var(Y)

SD(X +Y) = √Var(X)+Var(Y)

X — Y represents the difference between Ayrshire and Jersey cows.  

E(X — Y) = E(X) — E(Y). 47 — 43 = 4

SD(X — Y) = √Var(X)+ Var(Y) =√36+ 25 = √61 = 7.8102

The z-score is the value decreased by the mean, divided by the standard deviation:  

z = x-μ /σ = 0-4/ 7.8102  = -0.51

Determine the corresponding probability using table Z in appendix F.  

P(X—Y 0) = P(Z > —0.51) = 1—P(Z < —0.51) = 1-0.3050 = 0.6950 = 69.50%  

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00