Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are

represented by the dot plots.

Brand A

0

1

2

3

4

5

6

7

8

9

10

11

12

BrandB

0

1

2

3

4

5

6

7

8

9

10

11

The mean absolute deviation for brand Als

The mean absolute deviation for brand B is

The mean absolute deviations for the two brands

Standard deviation of 19,29,21,22,23

What adds to be the bottom number but also multiplies to be the top number with 8 on the bottom and 15 on top

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.