MATH 215
Introduction
to Statistics
Assignment
2 2025
Athabasca
University
Assignment
2
Overview
Total marks: / 71
This assignment covers content from Unit 2 of the course. It assesses your knowledge of the concepts and
rules that allow us to compute the probabilities related to events that occur when conditions are uncertain.
Instructions
Show all your work and justify all of your answers and conclusions, except for the True/False
questions.
Keep your work to 4 decimals, unless otherwise stated.
(4 marks)
1. Circle True (T) or False (F) for each of the following statements:
T F{H, T} represents the sample space for an experiment of flipping two coins, each with heads
(H) on one side and tails (T) on the other.
TF 13/12 represents a possible value of a probability.
TF Suppose that the probability of event A occurring is 1/5 and the probability of event B occurring is
3/7. If events A and B are mutually exclusive, the probability that A and B occur together is 0.
FIf a researcher samples without replacement, then future probabilities of the sampling process are
T unaffected by prior probabilities.
(7 total marks)
2. At a recent convention, a group of 60 doctors were classified according to their specialties. The
number of doctors in each specialty was summarized as follows:
Pediatrician: 18 General Practitioner: 29 Surgeon: 4 Dermatologist: 9
If a doctor is selected at random, what is the probability that:
(1 mark)
, a. the doctor is a dermatologist?
(2 marks)
b. the doctor is either a pediatrician or a general practitioner?
Introduction
to Statistics
Assignment
2 2025
Athabasca
University
Assignment
2
Overview
Total marks: / 71
This assignment covers content from Unit 2 of the course. It assesses your knowledge of the concepts and
rules that allow us to compute the probabilities related to events that occur when conditions are uncertain.
Instructions
Show all your work and justify all of your answers and conclusions, except for the True/False
questions.
Keep your work to 4 decimals, unless otherwise stated.
(4 marks)
1. Circle True (T) or False (F) for each of the following statements:
T F{H, T} represents the sample space for an experiment of flipping two coins, each with heads
(H) on one side and tails (T) on the other.
TF 13/12 represents a possible value of a probability.
TF Suppose that the probability of event A occurring is 1/5 and the probability of event B occurring is
3/7. If events A and B are mutually exclusive, the probability that A and B occur together is 0.
FIf a researcher samples without replacement, then future probabilities of the sampling process are
T unaffected by prior probabilities.
(7 total marks)
2. At a recent convention, a group of 60 doctors were classified according to their specialties. The
number of doctors in each specialty was summarized as follows:
Pediatrician: 18 General Practitioner: 29 Surgeon: 4 Dermatologist: 9
If a doctor is selected at random, what is the probability that:
(1 mark)
, a. the doctor is a dermatologist?
(2 marks)
b. the doctor is either a pediatrician or a general practitioner?
