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Biological Statistics I
Biometry 3010 / Natural Resources 3130 / Statistical Science 2200
Homework 2 (25 points total)
Name: Beverly Anderson
Section: Lab Section 2
Date: 9 September 2010
Objectives:
i.
To demonstrate an understanding of basic probability concepts.
ii.
To straightforwardly characterize a sequence of probabilistic event.
1.
(3 points) An individual is presented with three different glasses of cola, labeled
C, D, and P. He is asked to taste all three and then list them in order of
preference. Suppose the same cola has actually been put into all three glasses.
a.
What are the simple events in this ranking experiment and what
probability would you assign to each one?
A simple event is an event that consists of one possible
outcome. These events are tasting each cup (3 tastes total)
and then ranking the three glasses. There is a 100% probability
that the individual will taste all three cups and then rank them.
b. What is the probability that C is ranked first?
The probability that C is ranked first is
1/3.
c.
What is the probability that C is ranked first and D is ranked last?
(1/3)*(1/2)=
1/6
probability that C is ranked first and D is last.
2.
(4 points) Suppose that the proportions of blood phenotypes in a particular
population are as follows:
A
B
AB
O
0.42
0.10
0.04
0.44
a. Assuming that the phenotypes of two randomly selected individuals are
independent of one another, what is the probability that both phenotypes
are O?
(.44)*(.44)=
.1936
probability that both phenotypes are O
b. What is the probability that the phenotypes of two randomly selected
individuals match?
(.42)*(.42)+(.1)*(.1)+(.04)*(.04)+(.44)*(.44)=
.3816
probability that the
phenotypes of two random individuals match
c.
What is the probability that the phenotype is A given that you already
know that this individual is of type A, B, or AB but not O.
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View Full Document P(AA,B,AB)= P(A intersection A,B,AB)/P(A,B,AB)
=(.42)/(.42+.1+.04)
=
.75
probability that the phenotype is A given that the
individual is not O
d. If we define the set S={A, B, AB}, complete the following formula:
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This note was uploaded on 10/18/2010 for the course MATH 2070 taught by Professor Disalvo during the Fall '10 term at West Chester.
 Fall '10
 DiSalvo
 Logic, Statistics, Probability

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