Final Exam Fall2021Name Montserrat Frutos
1. The following data is the ages of people buying their first car.
16, 14, 25, 26, 24,
Find the following: 14,16,24,25,26
A. Mean 21
B. Median 24
C. Mode no mode
D. Range 12
E. Standard Deviation 5.56
For standard deviation, use the formula below:
n = number of elements
2. Make a scatter graph for the data above. Be sure to label your graph and draw the line of best fit.
DateAmount of sales in dollars
3. Make a cumulative frequency chart from the following ages of 20 car buyers.
19,19,19,19,19,20,20,20,20,24,24,24,25,25,25,25,28, 28, 28, 28
Ages TotalRelative FrequencyCumulative Frequency
19 5 0.25 5
20 4 0.20 9
24 3 0.15 12
25 4 0.20 16
28 4 0.20 20
4. Describe in a few sentences what is the placebo effect.
The placebo is a neutral treatment that is applied to control the specific group and it has no effects on the outcome.
5. The following chart contains all the possible results of flipping 3 coins the same time or flipping one coin 3 times
TTTFind the following probabilities
A. 3 tails 1/8
B. 3 heads 1/8
C. At least one head 7/8
D. At least two heads 1/2
E. More than one tail 1/2
F. More than two heads 1/8
G. 4 heads 0
H. No tails 1/8
J. 2 or more tails 1/2
6. Sums of rolling 2 dice:
Find the probabilities:
A. P (sum of 6) 8/30
B. P (sum of 4) 9/30
C. P (sum greater than 9) 2/30
D. P (sum less than 6) 1/125
E. P (even sum) 7/675
F. P (odd sum) 42/3045
G. P (a sum of at least 8) 7/2175
7. A jar contains the follow 30 jelly beans:
6 red, 8 blue, 2 purple, 5 yellow, 7 green, 2 white
Find the following probabilities.
A. P (blue) 5/36
B. P (green or purple) 1/12
C. P (white) 1/6
You select a jelly bean and RETURN it to the jar before selecting the next jelly bean. You do not eat it.
D. P (red and a red and a red) 5/18
E. P (green and a blue and a yellow) 17/36
You select a jelly bean and EAT it before selecting the next jelly bean.
F. P (blue and a blue and a blue) 19/36
G. P (purple and a green and a red) 5/12
8. Find the odds in favor of landing on an 8 on a spinner numbered 1 – 8.
P (Not A)
9. Find the odds against getting a head on the flip of a coin.
P( Not A)
10. Use 1 – (Complement)n
Find the probability of rolling at least one 4 on five rolls of one die.
11. How many ways can 6 people line up for a bus?
12. A restaurant’s dinner menu includes 5 appetizers, 8 main dishes, 6 vegetables, and 3 beverages? How many different meals can be selected? 22
13. Which formula would you use for the problem below? Circle your answer.
A baseball team is being formed with 30 children. Nine children will rotate through all nine positions having a chance to play each position. Which formula will compute the correct number of arrangement of 20 people 9 at a time?
14. Match the following questions based on the summary of information below
A. How much is the total cost for the home? $462,456.28
B. How much time do you have to pay the loan? 30 years
C. What is the interest rate? 4.62%
D. How much is the principal? $250,000
E. What is the monthly payment? $1284.60
F. What is the total interest paid $212,456.28
INTEREST RATE 4.62%
LENGTH 30 years
NUMBER OF PAYMENTS360
TOTAL PRINCIPAL PAID $250,000.00
TOTAL INTEREST PAID$212,456.28
COMPOUND INTEREST FORMULAS
Do not do #15, #17 or #18 Do # 16
15. Use formula 1 to determine the amount of savings for a deposit of $15,000, at a 6% rate of interest for 8 years compounded annually.
16. Use formula 2 to determine the amount of saving for a deposit of $20,000
At 4.5% rate of interest for 6 years compounded quarterly.
17. Use formula 3 to determine the amount of saving for a monthly deposit of $100 in an account with 4% rate of interest for 25 years compounded monthly.
18. Use formula 4 to determine the amount of the monthly deposit musts be made to have $500,000 at the end of 25 years.
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