This Question: 1 pt 11 of 20 (2 complete) This Test: 20 pts possible Two random

Question

This Question: 1 pt 11 of 20 (2 complete) This Test: 20 pts possible Two random variables x and y are independent if the value of x does not affect the value of y. If the variables are not independent, they are dependent. A new random variable can be ormed by nding he sum or difference o random variables a random variable x as e n and a ran on vanable y has mean / he he means of the sum and difference of the variables are given by the following equations x+ y The distribution of a test's scores for college-bound male seniors has a mean of 1527 and a standard deviation of 312. The distribution of a test's scores for college-bound female seniors has a mean of 1492 and a standard deviation of 309. One male and one female are randomly selected. Assume their scores are independent. What is the average sum of their scores? What is the average difference of their scores? What is the average sum of their scores? L (Type an integer or a decimal.) What is the average difference of their scores? (Type an integer or a decimal.)

Explanation / Answer

a) Average sum:

x+y = x + y

x+y = 1527 + 1492

x+y = 3019

b)

x-y = x - y

x-y = 1527 - 1492 = 35

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