Given a random permutation of the elements of the set
{a,b,c,d,e}, let X equal the number...
Given a random permutation of the elements of the set
{a,b,c,d,e}, let X equal the number of elements that are in their
original position (as listed). The moment generating function is X
is: M(t) = 44/120 + 45/120e^t + 20/120e^2t + 10/120e^3t+1/120e^5t
Explain Why there is not (e^4t) term in the moment generating
function of X ?
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16, 17, 18, 19, 20}
set A = numbers in U that divide into 12 with no remainder,
set B = numbers in U that divide into 16 with no remainder, and set
C = the numbers in U that divide into 20 with no remainder.
a. Made a Venn diagram showing the elements of the sets U, A,...
Given two sets A and B, the
intersection of these sets, denoted A ∩
B, is...
Given two sets A and B, the
intersection of these sets, denoted A ∩
B, is the set containing the elements that are in both
A and B. That is, A ∩ B =
{x : x ∈ A and x ∈
B}.
Two sets A and B are
disjoint if they have no elements in common. That
is, if A ∩ B = ∅.
Given two sets A and B, the union of
these sets, denoted A ∪ B,...
1. Consider the following situation: The universal set U
is given by: U = {?|? ?...
1. Consider the following situation: The universal set U
is given by: U = {?|? ? ? , ? ≤ 12}
A is a proper subset of U, with those numbers that are
divisible by 4.
B is a proper subset of U, with those numbers that are
divisible by 3.
C is a proper subset of U, with those numbers that are
divisible by 2
a) Using Roster Notation, list the elements of sets U, A, B and
C....
A)Let the Universal Set, S, have 118 elements. A and B are
subsets of S. Set...
A)Let the Universal Set, S, have 118 elements. A and B are
subsets of S. Set A contains 18 elements and Set B contains 94
elements. If the total number of elements in either A or B is 95,
how many elements are in B but not in A?
B)A company estimates that 0.3% of their products will fail
after the original warranty period but within 2 years of the
purchase, with a replacement cost of $350.
If they offer...
a. What are the maximal and minimal elements, if any, of the
set (N+,|)? Is there...
a. What are the maximal and minimal elements, if any, of the
set (N+,|)? Is there a minimum or maximum element?
(N+={1,2,3,4,...}).
b. There are five flavors of icecream: banana, chocolate,
lemon, strawberry and vanilla. We can have three scoops. How many
variations will there be?
Given this set of daily service operations, and assuming a
processing order of A-B-C-D-E:
Service
Operation...
Given this set of daily service operations, and assuming a
processing order of A-B-C-D-E:
Service
Operation
Number of Daily
Reps
A
44
B
12
C
36
D
32
E
8
b. Determine the number of repetitions for each
service if four cycles are used.
Cycle
1
2
3
4
A
B
C
D
E
c. Determine the number of repetitions for each
service if two cycles are used.
Cycle
1
2
A
B
C
D
E
1)Let the Universal Set, S, have 97 elements. A and B are
subsets of S. Set...
1)Let the Universal Set, S, have 97 elements. A and B are
subsets of S. Set A contains 45 elements and Set B contains 18
elements. If Sets A and B have 1 elements in common, how many
elements are in A but not in B?
2)Let the Universal Set, S, have 178 elements. A and B are
subsets of S. Set A contains 72 elements and Set B contains 95
elements. If Sets A and B have 39 elements...