Homework Statement
Given a beam of 5 meters and uniform weight 100N position on a fulcrum
such that it subtends an angle of 20 degrees and the length of the beam
to the left of the fulcrum is 3.3m, how far could an 80N cat walk before
the beam tips?
Here is an image that I drew up in mspaint...
If I have the addressing format:
Tag: 31-12
Index: 11-6
Byte offset: 5-0
And if my cache size is 32KB = 32*2^10 = 2^5*2^10 = 2^15
then this would represent a how many-way set associative
cache? i.e., an x-way associative cache?
Since bits 11-6 are used for the index, then this...
Wasn't sure of where the most appropriate place would be for this post.
If you have a truth table, say for inclusive OR, then you get a
sums-of-products expression:
(A * B^c) + (A^c * B) + (A * B)
From this, how could I arrive at the following:
A + B = ((A + B)^c)^c = (A^c * B^c)^c...
Ah, that's what I was trying to determine. So we break it up into
(Lost card was spade) and (Lose card not spade).
The answer is indeed 1/4 but I was more concerned
with how we partition the sample space.
And on the word "event", "event" is a subset of your sample space,
as you of...
Suppose you had a normal deck of 52 playing
cards and lost a card. You then decide to draw
a card from the remaining 51 cards.
What is the probability the drawn card is a spade?
Would this be appropriately captured by the following
events:
A : event card was drawn from the deck
S ...
@VandeCarr: My comment was addressed to your and mathman's solution. Not statdad's. statdad responded after you presented a solution and my response preceded statdad's. So it isn't possible that I was referring to your's and statdad's.
I know the probability of the event being a boy with...
I was puzzling over my book's use of a reduced sample space
with the format of a triplet listed above. Their sample space
had 12 points in it and so I was not arrive at a probability of
1/7.
Where the reduction in sample space is Q(A) = P(A|B)
B our sample.
It looks like you two reached different answers. I know that the event
the middle child is a boy with an older brother and younger sister
is 1/14.
I was asking about why:
P( {ggb*} ) = P( {gb*g } ) = P( {b*gg} ) = 1/7
With a reduced sample space of:
(given a triplet (xyz) take it...
Consider this scenario:
"From families with three children, a family is selected at random and found
to have a boy. What is the probability that the boy has an older brother
and a younger sister? Assume that in a three-child family all gender
distributions have equal probabilities."...
I'll post this question here because it isn't a homework question.
I've already solved this problem that I have taken from a physics
book. My question pertains to why would gravity not be accounted
for? (The reason I think no gravity is account for is because the
solution provided by the...
if you have a sequence of events {A_1, A_2, ...} then an expression
for the event that "infinitely many A_i's occur" is:
U(n = 1 to inf, U(m = n to inf, A_m) )
but wouldn't
U(n = 1 to inf, A_n)
also satisfy this?
Theorem:
If P(A) = 1, P(B) = 1, then P(AB) = 1
My book starts out with the proof as follows:
P(A U B) >= P(A) = 1, so P(A U B) = 1
How do they reach such a conclusion?
Things I know:
P(A U B) = P(A) + P(B) - P(AB)
How can I use that to be sure that P(A U B) = 1?
Thanks for your cogent reply. The key here is realizing, under the given
assumption, that if P(A) is small, then it contradicts our assumption.
Which, as you have pointed out, suggests that the police do not patrol
the parking lot randomly.