Question

Consider the following four events and their vector timestamps: a: (3, 8, 4), b: (2, 2, 5), c: (2, 5, 8), d: (3, 7, 8). Which event/events happened before event d? Which event/events is/are concurrent with event d?

Answer #1

Consider two events X and Y to see if two events are concurrent
do an element by element comparision of the their timestamps.

case a ) if each element of timestamp of X is less than or equal to
the corresponding element in timestamp of Y then X happens before
Y.

case b) if each element of timestamp of X is greater than or equal
to the corresponding element in timestamp of Y then X happens after
Y.

case c) if some element in timestamp of X are greater than and the
rest of them are not then the events are concurrent.

a: (3, 8, 4)

b: (2, 2, 5)

c: (2, 5, 8)

d: (3, 7, 8)

compare each timestamps with d -

--> a and d - 3<=3 , 8>7 , 4<8

a and d are concurrent

--> b and d - 2<3 , 2<7 , 5<8

b happened before d

--> c and d - 2<3 , 5<7 , 8<=8

c happened before d

1. Which of the following statements is true?
A
If events A and B are complements, then the intersection of A
and the complement of B is the sample space.
B
If events A and B are mutually exclusive, then the intersection
of A and B is the empty set.
C
If events A and B are mutually exclusive, then the union of A
and B is the sample space.
D
If events A and B are mutually exclusive, then...

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A = event
that the selected number is even
B = event that the selected number is a multiple of 3
Find the following
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a) P( A
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b) P( A
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)
c) P(
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−2−2 6]
[−2−3 5]
[3 4−8]
[−7−9 18
(all one matrix)
(a) How many rows ofAcontain a pivot position?
(b) Do the columns ofAspanR4?
(c) Does the equationA ~x=~b have a solution for
every~b∈R^4?
(d) Would the equation A~x=~0 have a nontrivial solution?
(e) Are the columns of A linearly independent?
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S= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
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A= 2, 4, 6, 8
B= 1, 3, 5, 7, 9
C= 0, 1, 2, 3
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What type of distribution is this?

. A statistical experiment has ten equally likely
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Use probabilities to answer the following questions
Are events A and B mutually exclusive?
Are events A and B independent?
What are the complements of events A and B and their
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QUESTION 17
If A = { 1, 2, 3, 4 } B = { 3, 4, 5
} C = { 5, 7, 8, 9 }
then A ∩ C U B equals
{ 3, 5 }
{ 3, 4, 5 }
{ 4, 5 }
None of the above
QUESTION 19
What is the Cartesian product A x B given A = {1, 2}
and B = {a, b}?
{ (1, a), (1, b), (2, a), (b, b) (a, a)}
{ (1, 1), (2, 2),...

7. Events A and B are independent. The P(A) = 3/5, P(not B) =
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Consider the following.
u =
−6, −4, −7
, v =
3, 5, 2
(a) Find the projection of u onto
v.
(b) Find the vector component of u orthogonal to
v.

A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
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CB = 4? − 5? + 3?
AC = 3? + 5? - 2?
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