BEG_4_T
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Chapter 4
Technology
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.1: Using a TI-83/84 Plus Calculator to
Calculate a Factorial
Use a TI-83/84 Plus calculator to calculate 9!
Solution
Press , then , and then select PRB and option 4:!
. Press .
As you can see in the screenshot on the right, 9! = 362,880 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.2: Using a TI-83/84 Plus Calculator to
Calculate the Number of Combinations
Use a TI-83/84 Plus calculator to calculate
15
C
9
.
Solution
Enter 15 , and then press . Next, scroll over to
PRB and choose option 3:nCr . Then enter 9 and press .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.2: Using a TI-83/84 Plus Calculator to
Calculate the Number of Combinations (cont.)
The screenshot on the right shows that
15
C
9
= 5005 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.3: Using a TI-83/84 Plus Calculator to
Calculate the Number of Permutations
Use a TI-83/84 Plus calculator to calculate
11
P
4
.
Solution
First, enter 11 and then press . Next, scroll over to PRB and choose option 2:nPr . Then enter 4 and press .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.3: Using a TI-83/84 Plus Calculator to
Calculate the Number of Permutations (cont.)
As shown in the screenshot on the right,
11
P
4
= 7920 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.4: Using Microsoft Excel to Calculate the Probability of Several Independent Events
A coin is flipped, a die is rolled, and a card is drawn from a deck. Use Microsoft Excel to find the probability of getting a tail on the coin, rolling a 5 on the die, and drawing a heart from the deck of cards.
Solution
First enter the data in an Excel worksheet as shown here.
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.4: Using Microsoft Excel to Calculate the
Probability of Several Independent Events (cont.)
Then in cell B4, divide B2 by B3. To do this, type the formula =B2/B3. Copy the formula from cell B4 into C4 and D4. Now the probabilities for each event are listed in row 4. Remember, when events are independent we multiply the probabilities of each event occurring with each other. Therefore, in cell E4, multiply the cells B4 through D4 by typing =B4*C4*D4.
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.4: Using Microsoft Excel to Calculate the
Probability of Several Independent Events (cont.)
The result, shown in the following screenshot, will be the probability of getting a tail on the coin, a 5 on the die, and drawing a heart from the deck of cards, which is approximately 0.0208
.
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.5: Using M INITAB to Calculate a
Factorial
Use M INITAB to calculate 10!
Solution
Go to Calc ► Calculator. Type C1 in the box after Store result in variable. Select Factorial under All functions, and then type 10 to replace “number of items” in the expression. Then click OK; the result, 3628800, will be displayed in row 1 of column C1. Thus, 10!
= 3,628,800 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.5: Using M INITAB to Calculate a
Factorial (cont.)
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.6: Using M INITAB to Calculate the
Number of Combinations
Use M INITAB to calculate
15
C
13
.
Solution
Go to Calc ► Calculator. Type C1 in the box after Store result in variable. Select Combinations under All functions. Type 15 to replace “number of items” and type 13 to replace “number to choose” in the expression. Then click OK; the result, 105, will be displayed in row 1 of column C1. Thus,
15
C
13
= 105 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.6: Using M INITAB to Calculate the
Number of Combinations (cont.)
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.7: Using M INITAB to Calculate the
Number of Permutations
Use M INITAB to calculate
18
P
7
.
Solution
Go to Calc ► Calculator. Type C1 in the box after Store result in variable. Select Permutations under All functions. Type 18 to replace “number of items” and type 7 to replace “number to choose” in the expression. Then click OK; the result, 160392960, will be displayed in row 1 of column C1. Thus,
18
P
7
= 160,392,960 .
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
Example T.7: Using M INITAB to Calculate the
Number of Permutations (cont.)
HAWKES LEARNING SYSTEMS
Students Matter. Success Counts.
Copyright © 2013 by Hawkes Learning
Systems/Quant Systems, Inc.
All rights reserved.
