MATH 110 Statistics Module 5 Exam | Latest
2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 5 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering probability distributions, including binomial, Poisson,
and normal distributions, as well as their applications. Graded A+ and aligned with Portage
Learning’s online curriculum, this guide offers essential support for success in introductory
statistical coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-solving questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes concise solution logic where appropriate
1. Question 1: What is a probability distribution? (1 pt)
o (a) A set of data points
o (b) A function describing probabilities of outcomes
o (c) A type of sample
o (d) A statistical test
Explanation: A probability distribution shows the likelihood of each possible
outcome.
2. Question 2: Which distribution is used for a fixed number of trials with two
outcomes? (1 pt)
o (a) Poisson
o (b) Binomial
o (c) Normal
o (d) Exponential
Explanation: Binomial applies to binary outcomes over a fixed number of
trials.
3. Question 3: What is the mean of a binomial distribution with n = 10 and p = 0.3? (1
pt)
o (a) 2
o (b) 3
o (c) 4
o (d) 5
Explanation: Mean = n × p = 10 × 0.3 = 3.
4. Question 4: What is the variance of a binomial distribution with n = 10 and p = 0.3?
(1 pt)
o (a) 2.1
o (b) 2.1
o (c) 3
, o (d) 4
Explanation: Variance = n × p × (1 - p) = 10 × 0.3 × 0.7 = 2.1.
5. Question 5: Which distribution models the number of events in a fixed interval? (1
pt)
o (a) Binomial
o (b) Poisson
o (c) Normal
o (d) Uniform
Explanation: Poisson is used for rare events over a continuous interval.
6. Question 6: What is the mean of a Poisson distribution with λ = 4? (1 pt)
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: Mean = λ = 4.
7. Question 7: What is the variance of a Poisson distribution with λ = 4? (1 pt)
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: Variance = λ = 4.
8. Question 8: Which condition is required for a normal distribution? (1 pt)
o (a) Discrete outcomes
o (b) Continuous data
o (c) Fixed trials
o (d) Rare events
Explanation: Normal distribution applies to continuous variables.
9. Question 9: What is the mean of a normal distribution if μ = 50? (1 pt)
o (a) 40
o (b) 50
o (c) 60
o (d) 70
Explanation: Mean = μ = 50.
10. Question 10: What is the standard deviation if variance = 25? (1 pt)
o (a) 3
o (b) 5
o (c) 7
o (d) 10
Explanation: Standard deviation = √variance = √25 = 5.
11. Question 11: What z-score corresponds to the 95th percentile? (1 pt)
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: 95% confidence level uses z = 1.96 (two-tailed).
12. Question 12: What percentage of data lies within 1 standard deviation in a normal
distribution? (1 pt)
o (a) 68%
o (b) 68%
o (c) 95%
2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 5 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering probability distributions, including binomial, Poisson,
and normal distributions, as well as their applications. Graded A+ and aligned with Portage
Learning’s online curriculum, this guide offers essential support for success in introductory
statistical coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-solving questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes concise solution logic where appropriate
1. Question 1: What is a probability distribution? (1 pt)
o (a) A set of data points
o (b) A function describing probabilities of outcomes
o (c) A type of sample
o (d) A statistical test
Explanation: A probability distribution shows the likelihood of each possible
outcome.
2. Question 2: Which distribution is used for a fixed number of trials with two
outcomes? (1 pt)
o (a) Poisson
o (b) Binomial
o (c) Normal
o (d) Exponential
Explanation: Binomial applies to binary outcomes over a fixed number of
trials.
3. Question 3: What is the mean of a binomial distribution with n = 10 and p = 0.3? (1
pt)
o (a) 2
o (b) 3
o (c) 4
o (d) 5
Explanation: Mean = n × p = 10 × 0.3 = 3.
4. Question 4: What is the variance of a binomial distribution with n = 10 and p = 0.3?
(1 pt)
o (a) 2.1
o (b) 2.1
o (c) 3
, o (d) 4
Explanation: Variance = n × p × (1 - p) = 10 × 0.3 × 0.7 = 2.1.
5. Question 5: Which distribution models the number of events in a fixed interval? (1
pt)
o (a) Binomial
o (b) Poisson
o (c) Normal
o (d) Uniform
Explanation: Poisson is used for rare events over a continuous interval.
6. Question 6: What is the mean of a Poisson distribution with λ = 4? (1 pt)
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: Mean = λ = 4.
7. Question 7: What is the variance of a Poisson distribution with λ = 4? (1 pt)
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: Variance = λ = 4.
8. Question 8: Which condition is required for a normal distribution? (1 pt)
o (a) Discrete outcomes
o (b) Continuous data
o (c) Fixed trials
o (d) Rare events
Explanation: Normal distribution applies to continuous variables.
9. Question 9: What is the mean of a normal distribution if μ = 50? (1 pt)
o (a) 40
o (b) 50
o (c) 60
o (d) 70
Explanation: Mean = μ = 50.
10. Question 10: What is the standard deviation if variance = 25? (1 pt)
o (a) 3
o (b) 5
o (c) 7
o (d) 10
Explanation: Standard deviation = √variance = √25 = 5.
11. Question 11: What z-score corresponds to the 95th percentile? (1 pt)
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: 95% confidence level uses z = 1.96 (two-tailed).
12. Question 12: What percentage of data lies within 1 standard deviation in a normal
distribution? (1 pt)
o (a) 68%
o (b) 68%
o (c) 95%
