Homework Assignment 4
Name____________________
Note: Show all work to receive partial credit.
Part 1
1. The relative likelihood of occurrence of any given event is known as that event's
a. standard deviation
b. area under the normal curve
c. probability
d. all of the above
2. A criminal investigator is working to bring two separate and distinct serial killers to justice – one
who preys on prostitutes and another who targets college students. From previous experience, the
investigator is led to believe that he has a .50 chance of apprehending the prostitute slayer and a .65
chance of apprehending the student slayer. To calculate the probability that he will capture both killers,
you must __________ the two probabilities.
a. add
b. subtract
c. multiply
d. divide
3. A probability distribution is based on
a. actual observations
b. probability theory
c. the addition rule
d. the multiplication rule
4. Probability varies from
a. 0 to infinity
b. 0 to 1.0
c. -1.0 to zero
d. -1.0 to 1.0
5. A dealer is drawing from only diamonds from a standard deck of cards. What is the probability of
drawing at random.. (Hint: We're only drawing from 13 cards, the diamonds, not the whole deck, 52).
Use three decimal places.
a. the eight?
b. the seven or eight?
c. the seven and eight (without replacement)?
d. the seven and eight (with replacement)
e. any face card?
f. not a face card?
g. any face card and the ace (with replacement)?
h. the ace or two or three?
6. Assume the probability of a child being allergic to the following foods as follows:
.014 for nuts
.043 for dairy
.031 for gluten
(Use three decimal places)
a. Calculate the probability that a child is NOT allergic to nuts.
b. Calculate the probability that a child is not allergic to dairy and not allergic to gluten.
c. Calculate the probability that a child is allergic to one of the three (nuts or dairy or gluten).
d. Calculate the probability that a child is allergic to dairy and gluten.
e. Calculate the probability that in a room of 3 children, no child is allergic to nuts.