MATH 215 Introduction to Statistics Assignment 2 (score 98%) Athabasca University

MATH 215 Introduction to Statistics Assignment 2 (score 98%) Athabasca University
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Assignment 2
(Revision 10)
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:
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.
T F 13/12 represents a possible value of a probability.
T F 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.
T F If a researcher samples without replacement, then future probabilities of the sampling process
are 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?
P(dermatologist) = 9/60 = 0.15
There is a 15% chance that the doctor is a dermatologist if selected at random.