AnswersNC-Math 4Binomial Probabilities

Binomial Probabilities — Unit test Answers

1 verified answers
1
Free Preview

At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at most 2 prizes?

Question illustration
A
0.09
B
0.33
C
0.58
D
0.91
2
Free Preview

Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let A represent the score on a randomly selected exam for subject A and let B represent the score on a randomly selected exam for subject B. The distributions of scores for each subject’s standardized tests are displayed in the table and the histograms.

Question illustration
A
Both distributions are roughly unimodal symmetric.
B
Subject A’s distribution is skewed right and subject B’s distribution is skewed left.
C
Subject A’s distribution is roughly unimodal symmetric and subject B’s distribution is skewed left.
D
Subject A’s distribution is roughly unimodal symmetric and subject B’s distribution is skewed right.
3

There are 16 students in a science class. Let X represent the number of students born on a Tuesday. Assuming birthdays in this class are independent of one another, what are the mean and standard deviation of X?

A
Mu Subscript x Baseline = 2.29, Sigma Subscript x Baseline = 1.40
Option A
B
Mu Subscript x Baseline = 3, Sigma Subscript x Baseline = 1.96
Option B
C
Mu Subscript x Baseline = 7, Sigma Subscript x Baseline = 1.51
Option C
D
Mu Subscript x Baseline = 13.71, Sigma Subscript x Baseline = 3.84
Option D
4

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.What is the median of the distribution?

Question illustration
A
4
B
4.5
C
4.8
D
5
5

At a carnival game, the chance of winning a prize is 0.45. Elijah plays the game 5 times. What is the probability that he wins 1 prize in 5 games?

A
0.04
B
0.05
C
0.21
D
0.45
6

One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The distribution for X is shown in the table.What is the probability that the basketball player will make at least six free throws out of the eight attempts?

Question illustration
A
0.11
B
0.21
C
0.30
D
0.32
7

The owner of a local movie theater keeps track of the number of tickets sold in each purchase. The owner determines the probabilities based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Question illustration
A
A histogram titled Movie tickets has x = number of tickets sold on the x-axis, and probability on the y-axis. 1, 0.55; 2, 0.20; 3, 0.17; 4, 0.06; 5, 0.02.
Option A
B
A histogram titled Movie tickets has x = number of tickets sold on the x-axis, and probability on the y-axis. 1, 0.02; 2, 0.17; 3, 0.20; 4, 0.55; 5, 0.06.
Option B
C
A histogram titled Movie tickets has x = number of tickets sold on the x-axis, and probability on the y-axis. 1, 0.17; 2, 0.55; 3, 0.20; 4, 0.06; 5, 0.02.
Option C
D
A histogram titled Movie tickets has x = number of tickets sold on the x-axis, and probability on the y-axis. 1, 0.02; 2, 0.17; 3, 0.55; 4, 0.20; 5, 0.06.
Option D
8

A large hotel has five elevators. On any given day, there is an 8% chance that one elevator is broken The elevators operate independently of one another. The Robertsons are staying in this hotel for five days. Let X represent the number of days one elevator is broken during their stay. What are the mean and standard deviation of X?

A
Mu Subscript x Baseline = 0.4, Sigma Subscript x Baseline = 0.074
Option A
B
Mu Subscript x Baseline = 0.4, Sigma Subscript x Baseline = 0.61
Option B
C
Mu Subscript x Baseline = 2.5, Sigma Subscript x Baseline = 1.92
Option C
D
Mu Subscript x Baseline = 4, Sigma Subscript x Baseline = 0.89
Option D
9

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Question illustration
A
The number of tickets purchased typically varies from the expected value by 0.95 tickets.
B
If many, many purchases are made, the expected number of tickets purchased is 2.1.
C
The mean number of tickets purchased typically varies from the expected value by 0.95 tickets.
D
The mean number of tickets purchased typically varies from the expected value by 0.89 tickets.
10

Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is displayed in the histogram.

Question illustration
A
skewed left
B
skewed right
C
uniform, symmetric
D
approximately Normal
11

A placekicker for a football team makes field goals 55% of the time when kicking from the 35-yard line. Assume that field goal attempts can be considered random events. Using the table, what is the probability that the placekicker will make at least 3 of his next 5 attempts from the 35-yard line?

Question illustration
A
0.34
B
0.26
C
0.60
D
0.74
12

Consider the given probability histogram of a binomial random variable.

Question illustration
A
Center: 5.4Shape: skewed right
B
Center: 5.4Shape: skewed left
C
Center: 6Shape: skewed left
D
Center: 6Shape: approximately Normal
13

A fair, six-sided number cube has the numbers 2, 2, 4, 4, 6, 6 on its faces. Sarah rolls this number cube 10 times and records the number of times a 2 is rolled.Have the conditions for a binomial setting been met for this scenario?

A
Yes, all four conditions in BINS have been met.
B
No, the rolls of a number cube are not independent of one another.
C
No, this is not a fair number cube because each outcome shows on more than one face.
D
No, without any odd-numbered faces, we cannot determine the probability of rolling a 2.
14

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Question illustration
A
2
B
2.1
C
2.5
D
3
15

A commuter train is late to a station 5% of the time. Last week, the train was late on 2 of the 7 days. If the train being late can be considered a random event, what is the probability that the train would be late 2 times in 7 days?

A
0.004
B
0.014
C
0.041
D
0.050
16

A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces with the values, 0, 1, 2, 5, and 10. Whatever space it lands on, the participant wins that value. Let X represent the value of a random spin. The distribution is given in the table.

Question illustration
A
The probability of a random spin having a value of at most 5 is 0.8.
B
The probability of a random spin having a value of at least 5 is 0.2.
C
The probability of a random spin having a value lower than 5 is 0.8.
D
The probability of a random spin having a value higher than 5 is 0.1.
17

The grade distribution for students in the introductory statistics class at a local community college are displayed in the table. In this table, A = 4, B = 3, etc. Let X represent the grade for a randomly selected student.

Question illustration
A
P(X < 2)
B
P(X ≤ 2)
C
P(X > 2)
D
P(X ≥ 2)
18

In a family of five children, there is a 25% chance that each individual child has freckles. Children inherit freckles independently of one another. Let X represent the number of children in this family with freckles. What are the mean and standard deviation of X?

A
Mu Subscript x Baseline = 1.25, Sigma Subscript x Baseline = 0.97
Option A
B
Mu Subscript x Baseline = 1.25, Sigma Subscript x Baseline = 0.94
Option B
C
Mu Subscript x Baseline = 1.5, Sigma Subscript x Baseline = 0.19
Option C
D
Mu Subscript x Baseline = 2.5, Sigma Subscript x Baseline = 0.97
Option D
19

A volleyball player’s serving percentage is 75%. Six of her serves are randomly selected. Using the table, what is the probability that at most 4 of them were successes?

Question illustration
A
0.297
B
0.466
C
0.534
D
0.822
20

A basketball player makes 85% of her foul shots. If 10 of her foul shots are randomly selected, what is the probability that 8 of them are successful shots?

A
0.06
B
0.28
C
0.85
D
0.98

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Binomial Probabilities

Assignment
6 verified answers

Binomial Probabilities

Instruction
4 verified answers

Instruction