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 formed by finding the sum or difference of random variables. If a random variable x has mean μx and a random variable y has mean μy then the means of the sum and difference of the variables are given by the following equations. μx+y=μx+μy μx−y=μx−μy The distribution of a test's scores for college-bound male seniors has a mean of 1528 and a standard deviation of 319. The distribution of a test's scores for college-bound female seniors has a mean of 1498 and a standard deviation of 304. 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?

3026

              30

Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

Assuming x represents the random male selected and y represents the random female selected:

3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

1528 - 1498

30

The average difference of their scores is 30.

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.