AnswersAlgebra D E-Learning Fall 2023 and beyondProperties of Probability Distributions

Properties of Probability Distributions — Test Answers

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7

Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?

A
Once a tile is chosen, it can be chosen again:
Option A
B
Once a tile is chosen, it cannot be chosen again:
Option B
C
Once a tile is chosen, it cannot be chosen again:
Option C
D
Once a tile is chosen, it can be chosen again:
Option D
8

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

A
0
B
One-fourth
Option B
C
Three-fourths
Option C
D
1
9

A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the probability the gymnast scores a 9 or 9.5?Probability DistributionGymnastics Score: XProbability: P(X)50.025.50.0260.066.50.170.167.50.1480.188.50.189?9.50.02

A
0.02
B
0.04
C
0.12
D
0.14
10

Keisha has a bag that contains one red marble (r), one yellow marble (y), one green marble (g), and one orange marble (o). She makes the table below to show the different ways that she can choose two marbles—by first choosing one marble, replacing it, and then choosing another marble.What outcome is missing from Keisha’s table?

Question illustration
A
yg
B
yo
C
yr
D
yy
11

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box?

A
StartFraction 1 over 18 EndFraction
Option A
B
StartFraction 4 over 9 EndFraction
Option B
C
StartFraction 5 over 9 EndFraction
Option C
D
StartFraction 17 over 18 EndFraction
Option D
12

A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results:nun 10gimel 45hay 24shin 21Write a probability distribution for the dreidel.

Answer not available
13

Which value cannot represent the probability of an event occurring?

A
0.01
B
StartFraction 2 over 85 EndFraction
Option B
C
62.5%
D
1.1
15

Maggie’s bank has assigned her a temporary 3-digit PIN to use with her ATM card. Each digit is a number from 1 to 5, inclusive, and no digit can be used more than once in the PIN. Which multiplication problem can be used to determine the probability that the PIN she was assigned was 123?

A
(One-fifth) (one-fifth) (one-fifth)
Option A
B
(One-fifth) (one-fourth) (one-third)
Option B
C
(Four-fifths) (three-fourths) (two-thirds)
Option C
D
(Four-fifths) (four-fifths) (four-fifths)
Option D

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Properties of Probability Distributions — Test…