1. 1) For a given high school basketball team, the number of baskets (X) for the leading scorer is E(X) = 8.3 with s(X) = 1.25 and the number of baskets (Y) for the second leading scorer is E(Y) = 6.6 with s (Y) = Assume each player makes baskets independently of each other.
What is the standard deviation of the total number of baskets that both scorers would make combined?
2.63 baskets

2. 2) For a given high school basketball team, the number of baskets (X) for the leading scorer is E(X) = 8.3 with s(X) = 1.25 and the number of baskets (Y) for the second leading scorer is E(Y) = 6.6 with s (Y) = Assume each player makes baskets independently of each other.
How many more baskets would we expect the leading scorer to have?
1.7 baskets
3) What is the standard deviation of the above calculation?
2.63 baskets

3. 4) For a given high school basketball team, the number of baskets (X) for the leading scorer is E(X) = 8.3 with s(X) = 1.25 and the number of baskets (Y) for the second leading scorer is E(Y) = 6.6 with s (Y) = Assume each player makes baskets independently of each other.
Hypothetically, let’s say the leading scorer shoots only 3-point baskets and the second leading scorer shoots 2-point baskets, how many points would we expect each game from the two players combined?
38.1 points
5) What is the standard deviation of the above calculation?
5.95 points

4. 6) Now that the new models are here, a car dealership
has lowered prices on last year’s models. An
aggressive salesperson estimates the following
probability distribution of X, the number of cars that
she’ll sell next week. Assume all salespeople work
independently of each other.
Suppose that this salesperson earns a $200
commission for each car sold. What is the standard
deviation of her wages for next week?
$222.71

5. 7) Now that the new models are here, a car dealership
has lowered prices on last year’s models. An
aggressive salesperson estimates the following
probability distribution of X, the number of cars that
she’ll sell next week. Assume all salespeople work
independently of each other.
Suppose the employee’s complain to the owner about
their pay. They want some type of guaranteed salary
and more commission. The owner relents and decides
they get $150 each plus $250 commission for each car
sold. What is the standard deviation of her wages for next
week?
$278.39

6. 8) The Garcia family (Ricky, Maria, Mateo and Lexie) love to visit the local bakery that specializes in muffins. Listed below are mean and standard deviation of the number of muffins each buys per visit. Assume each person buys muffins independently of each other.
Ricky: m = 2.3 muffins, s = 1.1 muffins
Maria: m = 3.9 muffins, s = 2.2 muffins
Mateo: m = 5.2 muffins, s = 0.7 muffins
Lexie: m = 4.2 muffins, s = 1.4 muffins
If the family goes to the bakery, what is the standard deviation of the total number of muffins they purchased together?
2.92 muffins

7. 9) The Garcia family (Ricky, Maria, Mateo and Lexie) love to visit the local bakery that specializes in muffins. Listed below are mean and standard deviation of the number of muffins each buys per visit. Assume each person buys muffins independently of each other.
Ricky: m = 2.3 muffins, s = 1.1 muffins
Maria: m = 3.9 muffins, s = 2.2 muffins
Mateo: m = 5.2 muffins, s = 0.7 muffins
Lexie: m = 4.2 muffins, s = 1.4 muffins
How many more muffins would we expect the males to buy than the females?
- 0.6 muffins
10) What is the standard deviation of the above calculation?
2.92 muffins

8. 11) The Garcia family (Ricky, Maria, Mateo and Lexie) love to visit the local bakery that specializes in muffins. Listed below are mean and standard deviation of the number of muffins each buys per visit. Assume each person buys muffins independently of each other.
Ricky: m = 2.3 muffins, s = 1.1 muffins
Maria: m = 3.9 muffins, s = 2.2 muffins
Mateo: m = 5.2 muffins, s = 0.7 muffins
Lexie: m = 4.2 muffins, s = 1.4 muffins
Maria and Lexie love going Thursday mornings because all muffins are $2.50 each. What is the standard deviation of the amount of money they will spend together?
$6.52

9. 12) The Garcia family (Ricky, Maria, Mateo and Lexie) love to visit the local bakery that specializes in muffins. Listed below are mean and standard deviation of the number of muffins each buys per visit. Assume each person buys muffins independently of each other.
Ricky: m = 2.3 muffins, s = 1.1 muffins
Maria: m = 3.9 muffins, s = 2.2 muffins
Mateo: m = 5.2 muffins, s = 0.7 muffins
Lexie: m = 4.2 muffins, s = 1.4 muffins
Mateo buys the $4 mega muffins and Lexie buys the regular $3.25 muffins. What is the standard deviation of the difference in cost (Mateo – Lexie)?
$5.34