1. Homework pg. 491 and 499
32.) a. The wheel is not affected by its past outcomes-it has no memory; outcomes are independent. So on any one spin, black and red remain equally likely. b.) Wrong. Removing a card changed the composition of the remaining deck, so successive draws are not independent. If you hold 5 red cards, the deck now contains 5 fewer red cards so your chance of another red decreases.

2. 37. ) A. B. ) Mean=10. 1; variance=21. 69 (show work) C
37.) A. B.) Mean=10.1; variance=21.69 (show work) C.) they are the same D.) show variance using the formula E.) The rules should be easier and less calculations.
a +bX 5 8 17
P(a+bX) .2 .5 .3

3. 38.) A. Independent
Not independent
39.)a. Dependent: since the cards are being drawn from the deck without replacement, the nature of the third card will depend upon the nature of the first two cards.
Independent: individual dice rolls are independent; they do not affect each other.

4. D B
possible values σ
σ 2

5. 40.) the total mean would be 40+5+25=70
41.)a. Mean is 31 seconds.
No. The mean is not affected by the standard deviation
The standard deviation is seconds
42.) a. Normal, with a mean of 350 and a standard deviation of b

6. If X is a random variable with µ=9 and σ=3
If X is a random variable with µ=9 and σ=3. If every X is multiplies by 2 and added by 5, then find the following:

7. X and Y are random variables with FIND: