Answers to the Review questions suggested for 2nd Midterm

Chapter 13
#9 a) (1/6)10
   b) 1 - ((1/6)10)
   c) (5/6)10
11.  Choose ii, same chance of winning $1 but you can't lose.


Chapter 14.

#2 is 2/36 see the diagram in this chapter
#3 both are false because they are not Mutually Exclusive
#11 a)  13/52 * 12/51 * 10/50
    b)  39/52 * 38/51 * 37/50
    c) 1 - (13/52 * 12/51 * 10/50)

Chapter 16
see the other link on the homework page

Chapter 17
1.  a) smallest is 100 if you picked all 1's
       the largest is 1000 if you picked all 10's
    b) the sums will be normally distributed so you can
use normal calculations o find the chance:

650 - 700
---------  = -1.67
  30 

750 - 700
---------  = +1.67
  30 

which are both close to 1.70 from your table, the area between
+1.70 and -1.70 is about 91.09% or 90% is the best answer

3.  a) with iii
    b) with i
    c) with v
    d) with iv
    e) with ii

see page 298 for help with that one

6.  12 chance error in the sum of the draws
    45 observed value for the number of 1's
    187 observed value for the sum of the draws
    25 expected value for the number of 3's
    50 expected value for the number of 1's
   175 expected value for the sume of the draws
     5 standard error for the number of 1's
    32 observed value for the number of 3's

8.  (a) ii
    (b) EV = 0 (box average is zero)
        SE for the difference is 10 (the box SD is 1.0)