**Please show exact steps on how you got the answer so I can have a better understanding**

1. The data represent your hypothetical walking times for each of the months January - October (10 months).309, 317, 326, 348, 378, 399, 401, 408, 426, 440

1. Calculate your mean and your median walking time for the 10 months.
2. How many minutes would you have to walk in November so that your mean for the 11 months would be2 percentage points more than your mean for the 10 months?

2. Refer to the numbers below to answer these questions.

Box A: (21) purple pens, Box A: (10) red pens, Box B: (15) purple pens, Box B: (12) red pens.

There are two boxes containing only red and purple pens. A pen is randomly chosen from each box.

1. Which of these events is most likely to occur? Be sure to show all your calculations. Event1: choosing a red pen from Box B. Event2: choosing a purple pen from Box A. Event3: choosing a red pen from Box A.
2. Which of these events is least likely to occur? Be sure to show all your calculations. Event1: choosing a red pen from Box A. Event2: choosing a purple pen from Box B. Event3: choosing a red pen from Box B.
3. Name an event where the probability would be 1.
4. Name an event where the probability would be 0.
5. Name an event where the probability would be 3.

3. A small business is forming an advisory committee. The committee will have 1 person from each of the following groups: Group 1 is the 7 full time employees. Group 2 is the 4 investors. Group 3 the 12 customers who recently made orders. In how many ways can the committee be formed?

4. You are planning to paint your office and have narrowed your choices to 10 paint colors and will choose 3 colors to use.

1. How many different combos can you choose if the order does not matter?
2. How many combos can you choose if the order does matter?

If the order in a choice does not matter, then a choice such as F G H is the same as the choice of H F G.The Combination rule applies. If the order in a choice does matter, then a choice such as K L M is different from a choice of M K L. The Permutation rules apply.