...8052101 ( ) 29. The average monthly production of a factory for the first 8 months is 2.500 units, and for the nest 4 months, the monthly production was 1.300 units. The average monthly production of the year will be A 2100 B2200 2300 D) 2400 30. If X and Y are independent variables then A VariX + Y) Var BOE(XY) DEC Var D) All of the above (A and B and O 31. Suppose that every man's age CD is exactly 3 five years greater than his wife's age (Y). Mathematically, XY+3 Then the correlation coefficient between X and Y is equal to A B-1 03 D) 0.3 Use the following to answer questions 32-36 Suppose that the error in the reaction temperature, in C. for a controlled laboratory experiment is a random variable X having the probability density function (pd0 fas follow: elsewhere 32. The function is a valid density function, because Boxf) 20 x=1 D) food 33. The cumulative distribution function F, between 0 and 2, is expressed by NF00- B0F(x)= OF(x)= D) F(x) 1 34. The probability PsX] A 28 D) 38 BO 1/8 35. The expectation Mean) of the variable X is equal to A 1/2 B1 36. The Median of the variable X is equal to A because Flo 32 D2 One of the above responses B0015 because Pio 50015 D) 1.587 because P(1587) 05 Use the following to answer questions 37-40 A company that services air conditioner units in residences and office blocks is interested in how to schedule its technicians in the most efficient manner. The random variable X, taking the values 1 and 2, is the service time in hours. The random variable Y, taking the values 1, 2 and 3, is the number of air conditioner X-service time Ynumber of unite X-1 X-4 Total Y-1 0.12 01 022 Y-3 0.40 0.15 0.35 Y-3 0.22 0.00 9.21 Total 074 0.26 100 37. The probability PS1 S2] equal to A052 10022 074 DI 26 38. The marginal probability PIX-2) is equal to A 022 074 Die 26 The conditional probability PY-2/X-21 is approximately equal to BOST 0074 D) 0.27