Probability And Statistics Worksheets Page 10
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42P
E
RACTICE
XERCISES
5. A family wants to have 3 children. Do the following simulation to determine
Five-step
the probability that, if they do have 3 children, all 3 will be the same gender.
Plan
a. Use 3 coins. Let heads
girl and tails
boy. Toss the coins and record
1 Read
the results. Repeat the coin tosses until you have recorded 50 sets of 3
2 Plan
tosses each.
3 Solve
4 Answer
b. Count the successful outcomes—those with either 3 heads or 3 tails.
5 Check
c. Write a ratio comparing successful outcomes with total outcomes. What
is your experimental probability of having 3 children, all of whom are of
the same gender?
6.
SPORTS
One baseball player always arrives at the stadium between 5:30
.
.
P
M
and 6:30
.
. for a night game. If batting practice always starts between
P
M
6:00
.
. and 7:00
.
., what is the probability on any given night that this
P
M
P
M
player will arrive before batting practice begins? Design and do a simulation
to find out.
7.
PROGRAMMING
A pitcher throws strikes about 60% of the time. If he
throws 80 pitches, how many might be strikes? The following computer
programming statements can be used to simulate 80 pitches.
1 S
0
The experiment begins with no successes.
2 FOR I
1 TO 80
80 pitches
3 X
RND(1)
Generate a random decimal.
4 IF X
.6 THEN S
S
1
If the decimal
0.6, increase S by 1.
5 NEXT I
Simulate the next pitch.
6 PRINT S
Total number of strikes.
7 END
Use the program to simulate the problem. Then describe how you would
adjust the program for a pitcher who throws strikes 40% of the time.
8.
TALK ABOUT IT
Petra is designing a simulation to determine the chance of
guessing the correct answer on a multiple-choice test. Each item on the test
has three choices. Petra plans to roll a 6-sided die to simulate random
guesses. A roll of 1 or 2 will indicate choice A; a roll of 3 or 4, choice B; and a
roll of 5 or 6, choice C. Will Petra’s simulation work? Explain.
M
R
E
IXED
EVIEW
XERCISES
Find the slope of each line using the given information. (Lesson 6-1)
9. A( 2,
1), B(5, 3)
10. C(7, 2), D(3,
2)
11. E(1, 8), F( 3,
4)
12.
3x
2y
9
13. 4y
2x
8
14.
12
x
4y
15. G( 3, 5), H( 3, 9)
16. I ( 3, 5), J(3,
5)
17. K(2,
1), L( 8,
1)
Solve each proportion. (Lesson 7-1)
5
1
5
9
x
4
1
6
7
x
18.
19.
20.
21.
x
1
2
1
2
2
0
1
3
x
2
2
5
5
1
4
x
3
x
1
x
x
3
4
1 6
8
22.
23.
24.
25.
2
5
1 0
1 6
9
1 2
8
x
2
2
x
389
Lesson 9-2 Problem Solving Skills: Simulations
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