For each of the following problems, identify the number
of outcomes in the sample space, n(S),...
For each of the following problems, identify the number
of outcomes in the sample space, n(S), the number of outcomes for
the event you want to happen, n(A), and the probability of that
event, P(A)
A hockey team has two goalies, six defenders, eight
wingers, and four centres. If the team randomly selects four
players to attend a charity function, what is the likelihood
that…
a) they are all wingers?
b) no goalies or centres are selected?
4. In a...
A sample space is S = {m, n, q, r, s}. Identify two events as U...
A sample space is S = {m, n, q, r, s}. Identify two events as U
= {m, q, s} and V = {n, q, r} . The probabilities of some of the
outcomes are given by the following table:
Outcome
m
n
q
r
s
Probability
0.18
0.16
?
0.24
0.21
a. Determine what P (q) must be.
b. Find P (U) .
c. Find P (V)
(2) After creating the sample space for tossing three
coins, please answer the...
A probability experiment is conducted in which the sample space
of the experiment is S={7,8,9,10,11,12,13,14,15,16,17,18}, event...
A probability experiment is conducted in which the sample space
of the experiment is S={7,8,9,10,11,12,13,14,15,16,17,18}, event
F={7,8,9,10,11,12}, and event G={11,12,13,14}. Assume that each
outcome is equally likely. List the outcomes in F or G. Find P(F or
G) by counting the number of outcomes in F or G. Determine P(F or
G) using the general addition rule.
A sample space is discrete if it consists of a finite or
countable infinite set of...
A sample space is discrete if it consists of a finite or
countable infinite set of outcomes. Consider the number of work
operations at a site the sample space. If the site has 3
departments and each department has 5 separate work operations, how
many work operations are in the sample space?
If the departments are assembly, packaging, and distribution.
How many outcomes are in the event assembly (that is within the
entire sample space)?
Consider the same example, and...
Question 1: Roll two fair dice. Then the sample space S is the
following.
S =...
Question 1: Roll two fair dice. Then the sample space S is the
following.
S =
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Let E be the event that the sum of the dice is odd, let F be the
event that the first die lands on 1,
and let G...