GPS Algebra Unit 1 Cumulative Review
Name: Due Date:
Show all work in the boxes provided. Put your answers in the answer box at the bottom corner of each question.
1. Tyra is shopping for a new car. She has decided on the model, but must make specific decisions about the car. Her options are:5-speed or Automatic
Red, Black or White Paint
Leather or Cloth Interior
How many different cars can Tyra choose?
/ 2. Amy is trying to determine how many different outfits she can make. She has 4 bottoms, 7 tops, 2 belts, and 5 pairs of shoes. Assuming she wears one of each item, how many different outfits can she make?
3. Rickee is arranging 3 flower pots in a windowsill. How many ways can she arrange the 3 pots?
/ 4. Sally is ordering lunch at a cafeteria. She has 3 choices for her salad, 2 choices for the main course, 4 choices for dessert and 3 choices for her drink. How many different lunches can Sally order?
5. Which models selecting a combination of 3 objects taken from a group of 8 items?
Answers available in ...
10
Take this time to do your
best on this question.
a. 8C3 =
b. 3C8=
c. 8C3=
d. 3C8=
7. You are rolling two dice at the same time. What is the probability of rolling a sum of 5 or 9?
/ 6. A standard deck of 52 playing cards has 4 suits with 13 different cards in each suit. How many different five-card hands are possible?
8. There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie's picking 2 white marbles?
9. At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.099. The probability that a student takes Advanced Weight Training is 0.71. What is the probability that a student is taking Advanced Spanish if the same student is taking Advanced Weight Training?
a. 7 %
b. 14 %
c. 50 %
d. 71 %
/ 10. Tommy is drawing two cards from a standard deck. If he has already drawn and not replaced a king, what is the probability that he will draw another king?
11. The following is a fair spinner, what is the probability of scoring 700 with 2 spins?
/ 12. The governors of three states appoint a water sharing commission that includes 10 Floridians (7 of whom are women), 12 residents of Alabama (6 of whom are women), and 11 Georgians (8 of whom are women).
If the chairperson is randomly selected, find the probability of getting a man given that he is a Floridian.
13. You draw a card from a bag that contains 6 yellow cards numbered 1-6 and 5 blue cards numbered 1-5. Find the probability that you
a. choose a blue card or a yellow card. / b. choose a blue card or
a number 5 card.
/ 14. A box contains 100 items of which 4 are defective. Two items are chosen at random from the box. What is the probability of selecting:
(a) 2 defectives if the first item is not replaced
(b) 2 defectives if the first item is put back before choosing the second item;
(c) 1 defective and 1 non-defective if the first item is not replaced?
15. Find the expected value of the following event.
E / P(E)
1 / .35
2 / .20
3 / .15
4 / .30
/ 16. Jabo Computers is considering bidding on a job to install a network in a building. If the bid is won, there is a .65 probability of making a $35,000 profit and there is a probability of .35 that the contractor will lose $9,000.
a. What is the expected value for this bid?
b. Should the bid be submitted? Explain your answer.
17. Below are the mean ACT scores taken from 10 randomly chosen high schools in Georgia.
23 / 25 / 29 / 28 / 22
27 / 21 / 26 / 26 / 23
Create a box and whiskers plot for the data. / 18. Here are the results from a study about the miles per gallon that were recorded among 3 groups of automobiles. The box plots show the overall results for 3 different automobiles types (A, B, & C).
a) Which type of automobile has the greatest
variability?
b) Which of type of automobile achieves
the best overall miles per gallon?
19. Find the mean, median, mode, range, and mean absolute deviation:
12 15 30 13 35 24 22 35
Mean / Median / Mode / Range / MAD
/ 20. Which of the following would be a simple random sample?’
A. Asking every boy in a club to take a survey.
B. Asking every other voter who they voted for as they exit a polling place.
C. Asking Coke drinkers whether they prefer Coke or Pepsi
D. Drawing the names of 5 people out of a hat.