A spinner marked off in four equal-sized regions, numbered 8, 9, 10, and 11, is spun twice. Let the random variable X be the higher value resulting from th (or the common value if both spins have the same result.) Complete parts a through d. spi a) Write the probability mass function f(x) = P(X =x) as a set of ordered pairs. How is f(x) = P(X= x) calculated? O A. Divide the number of possible outcomes by the number of outcomes where X=x. O B. Divide the number of possible outcomes by the number of outcomes where X*x. OC. Divide the number of outcomes where Xx by the number of possible outcomes. O D. Divide the number of outcomes where X=x by the number of possible outcomes. Choose the correct set of ordered pairs below. O A. OB. C. OD. b) Find the cumulative probability function F, and draw its graph. Choose the correct cumulative probability function below. OC. X. O A. B. x<8 d x<8 x<8 16 85x<9 16 85x<9 8sx<9 16 F(x) = 9sx< 10 F(x) = 9sx<10 F(x) = 9sx<10 16 9. 10sx<11 16 10sx<11 10sx<11 16 1 x211 x211 x211 Choose the correct graph of F below. O A. OB. OD. 10 11 12 769 10 11 12 9 10 11 12 8 9 10 11 12 c) Find f(9) and F(9). What does each number represent? Find f(9). What does f(9) represent? O A. 13 f(9) = and it represents the probability of getting a 9 as the higher value from the two spins. 16 O B. 3 1(9) = and it represents the probability of getting a 9 as the higher value from the two spins. 16 OC. 3 and it represents the probability of getting a 9 as the lower value from the two spins. f(9) = 16 O D. f(9) = and it represents the probability of getting a 9 as the sum from the two spins. Find F(9). What does F(9) represent? O A. F(9) = and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins. O B. F(9) = and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins. 4 1. Oc. F(9) =- and it represents the probability of getting a number less than 9 as the higher value from the two spins. O D. F(9) = 1 and it represents the probability of getting a number greater than or equal to 9 as the lower value from the two spins. d) Find 1-f(9) and 1- F(9). What does each number represent? Find 1-f(9). What does 1-f(9) represent? 12 M/4- 111

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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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eep
st
A spinner marked off in four equal-sized regions, numbered 8, 9, 10, and 11, is spun twice. Let the random variable X be the higher value resulting from th
(or the common value if both spins have the same result.) Complete parts a through d.
spi
a) Write the probability mass function f(x) = P(X=x) as a set of ordered pairs.
How is f(x)= P0X=x) calculated?
O A. Divide the number of possible outcomes by the number of outcomes where X =x.
O B. Divide the number of possible outcomes by the number of outcomes where X#x.
O c. Divide the number of outcomes where X x by the number of possible outcomes.
O D. Divide the number of outcomes where X=x by the number of possible outcomes.
Choose the correct set of ordered pairs below.
O A.
((三)
O B.
10,
C.
10,
16
O D.
Cin ^n
b) Find the cumulative probability function F, and draw its graph. Choose the correct cumulative probability function below.
C.
B.
x<8
d x<8
1
x<8
16
8sx<9
16
asx<9
85x<9
16
F(x)=
9sx<10
F(x) =
95x<10
F(x) = < 5
9sx<10
16
3
10sx<11
10sx<11
16
10sx<11
16
1
x211
1
x211
x211
Choose the correct graph of F below.
OA
C.
OD.
Q
9 10 11 12J
8 9 10 11 12
9 10 11 12
7 8 9 10 11 12
c) Find f(9) and F(9). What does each number represent?
Sereen NnOLZU/ L-UY-// a 10.24.12 AM.Dng
ind f(9). What does f(9) represent?
O A.
13
f(9)
and it represents the probability of getting a 9 as the higher value from the two spins.
16
OB.
(9) =
16
and it represents the probability of getting a 9 as the higher value from the two spins.
(9)D
and it represents the probability of getting a 9 as the lower value from the two spins.
16
(9)=7 and it represents the probability of getting a 9 as the sum from the two spins.
Find F(9), What does F(9) represent?
F(9)=7 and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins.
F(9) =7 and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins.
F(9) =7 and it represents the probability of getting a number less than 9 as the higher value from the two spins.
OD.
F(9) =7 and it represents the probability of getting a number greater than or equal to 9 as the lower value from the two spins.
d) Find 1-f(9) and 1-F(9). What does each number represent?
Find 1-f(9). What does 1-f(9) represent?
OA
1-f(9)=- and it represents the probability of not getting a 9 as the sum from the two spins.
OB.
1-f(9)=
13
and it represents the probability of not getting a 9 as the higher value from the two spins.
16
C.
1-19) 16
13
and it represents the probability of not getting a 9 as the lower value from the two spins.
D.
1-(9) =
16
3.
and it represents the probability of not getting a 9 as the higher value from the two spins.
Find 1-F(9). What does 1-F(9) represent?
OA.
1-F(9)= and it represents the probability of getting a number greater than 9 as the higher value from the two spins.
3.
O B.
1-F(9)=7 and it represents the probability of getting a number less than 9 as the lower value from the two spins.
OC.
1-F(9)=7 and it represents the probability of getting a number greater than or equal to 9 as the higher value from the two spins.
3.
%3D
OD.
1-F(9) =
13
and it represents the probability of getting a number less than 9 as the sum of the two spins.
16
Transcribed Image Text:eep st A spinner marked off in four equal-sized regions, numbered 8, 9, 10, and 11, is spun twice. Let the random variable X be the higher value resulting from th (or the common value if both spins have the same result.) Complete parts a through d. spi a) Write the probability mass function f(x) = P(X=x) as a set of ordered pairs. How is f(x)= P0X=x) calculated? O A. Divide the number of possible outcomes by the number of outcomes where X =x. O B. Divide the number of possible outcomes by the number of outcomes where X#x. O c. Divide the number of outcomes where X x by the number of possible outcomes. O D. Divide the number of outcomes where X=x by the number of possible outcomes. Choose the correct set of ordered pairs below. O A. ((三) O B. 10, C. 10, 16 O D. Cin ^n b) Find the cumulative probability function F, and draw its graph. Choose the correct cumulative probability function below. C. B. x<8 d x<8 1 x<8 16 8sx<9 16 asx<9 85x<9 16 F(x)= 9sx<10 F(x) = 95x<10 F(x) = < 5 9sx<10 16 3 10sx<11 10sx<11 16 10sx<11 16 1 x211 1 x211 x211 Choose the correct graph of F below. OA C. OD. Q 9 10 11 12J 8 9 10 11 12 9 10 11 12 7 8 9 10 11 12 c) Find f(9) and F(9). What does each number represent? Sereen NnOLZU/ L-UY-// a 10.24.12 AM.Dng ind f(9). What does f(9) represent? O A. 13 f(9) and it represents the probability of getting a 9 as the higher value from the two spins. 16 OB. (9) = 16 and it represents the probability of getting a 9 as the higher value from the two spins. (9)D and it represents the probability of getting a 9 as the lower value from the two spins. 16 (9)=7 and it represents the probability of getting a 9 as the sum from the two spins. Find F(9), What does F(9) represent? F(9)=7 and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins. F(9) =7 and it represents the probability of getting a number less than or equal to 9 as the higher value from the two spins. F(9) =7 and it represents the probability of getting a number less than 9 as the higher value from the two spins. OD. F(9) =7 and it represents the probability of getting a number greater than or equal to 9 as the lower value from the two spins. d) Find 1-f(9) and 1-F(9). What does each number represent? Find 1-f(9). What does 1-f(9) represent? OA 1-f(9)=- and it represents the probability of not getting a 9 as the sum from the two spins. OB. 1-f(9)= 13 and it represents the probability of not getting a 9 as the higher value from the two spins. 16 C. 1-19) 16 13 and it represents the probability of not getting a 9 as the lower value from the two spins. D. 1-(9) = 16 3. and it represents the probability of not getting a 9 as the higher value from the two spins. Find 1-F(9). What does 1-F(9) represent? OA. 1-F(9)= and it represents the probability of getting a number greater than 9 as the higher value from the two spins. 3. O B. 1-F(9)=7 and it represents the probability of getting a number less than 9 as the lower value from the two spins. OC. 1-F(9)=7 and it represents the probability of getting a number greater than or equal to 9 as the higher value from the two spins. 3. %3D OD. 1-F(9) = 13 and it represents the probability of getting a number less than 9 as the sum of the two spins. 16
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