HSCI 190 Module 3 Homework
Problems and Solutions Answered
Correctly | Verified
, Module 03 Homework Problems
1a. Explain the differences between independent and dependent events. Give
original examples of each (i.e., different than in the module). (1 mark)
- Independent: the probability of randomly selecting something from one group
does not affect the selection of another in the same group if drawn from the
entire population
o Example: the probability of selecting a blue marble from a bag of 5 blue
and 5 green marbles does not affect the selection of another blue marble
from the same bag if the first marble is returned to the bag
- Dependent: when one event affects the probability or occurrence of another
event
o Example: the probability of drawing a second blue marble from a bag of
5 blue and 5 green marbles if you do not return the first blue marble
drawn back into the bag
1b. Explain what it means for an event to be mutually exclusive. (1 mark)
- An event is mutually exclusive if it cannot occur at the same time as another event
- The probability of two mutually exclusive events occurring together is zero
1c. Provide an original example of two events that are mutually exclusive to one
another. (1 mark)
- Flipping a coin and getting heads and tails at the same time
2. State whether the scenarios below are an example of a complement, an
intersection, or a union. Explain your reasoning. (Note: you do not have to solve
for the probability) (3 marks)
a. The probability of having hypertension is 21%, and the probability of having
acute kidney failure is 15%. What is the probability of having both hypertension
and acute kidney failure?
- Intersection
o Both events can occur at the same time (not mutually exclusive); someone
can have both hypertension and acute kidney failure
o “and” in hypertension and acute kidney failure indicates that this is an
intersection
b. The probability of having tuberculosis (TB) in Ontario is currently 2%. If
anyone in a household has TB, they all must isolate. What is the probability that
a household of 3 must isolate?
- Union
o The probability of the first, second, or third person (or any combination of
the three people) having TB must be calculated
If this occurs then they all must isolate
c. The probability of having type 1 diabetes or type 2 diabetes is 29%. What is the
probability of being nondiabetic
o Question refers to the probability that having diabetes not occur; being nondiabetic
Problems and Solutions Answered
Correctly | Verified
, Module 03 Homework Problems
1a. Explain the differences between independent and dependent events. Give
original examples of each (i.e., different than in the module). (1 mark)
- Independent: the probability of randomly selecting something from one group
does not affect the selection of another in the same group if drawn from the
entire population
o Example: the probability of selecting a blue marble from a bag of 5 blue
and 5 green marbles does not affect the selection of another blue marble
from the same bag if the first marble is returned to the bag
- Dependent: when one event affects the probability or occurrence of another
event
o Example: the probability of drawing a second blue marble from a bag of
5 blue and 5 green marbles if you do not return the first blue marble
drawn back into the bag
1b. Explain what it means for an event to be mutually exclusive. (1 mark)
- An event is mutually exclusive if it cannot occur at the same time as another event
- The probability of two mutually exclusive events occurring together is zero
1c. Provide an original example of two events that are mutually exclusive to one
another. (1 mark)
- Flipping a coin and getting heads and tails at the same time
2. State whether the scenarios below are an example of a complement, an
intersection, or a union. Explain your reasoning. (Note: you do not have to solve
for the probability) (3 marks)
a. The probability of having hypertension is 21%, and the probability of having
acute kidney failure is 15%. What is the probability of having both hypertension
and acute kidney failure?
- Intersection
o Both events can occur at the same time (not mutually exclusive); someone
can have both hypertension and acute kidney failure
o “and” in hypertension and acute kidney failure indicates that this is an
intersection
b. The probability of having tuberculosis (TB) in Ontario is currently 2%. If
anyone in a household has TB, they all must isolate. What is the probability that
a household of 3 must isolate?
- Union
o The probability of the first, second, or third person (or any combination of
the three people) having TB must be calculated
If this occurs then they all must isolate
c. The probability of having type 1 diabetes or type 2 diabetes is 29%. What is the
probability of being nondiabetic
o Question refers to the probability that having diabetes not occur; being nondiabetic
