consider a sample space defined by events a1, a2, b1 and b2
where a1 and a2...
consider a sample space defined by events a1, a2, b1 and b2
where a1 and a2 are complements .given p(a1)=0.2 p(b1/a1) = 0.5 and
p(b1/a2) =0.7 what is the probability of p (a1/b1)
P(A1/B1)=
round to the 3rd decimal
Given that A1 = B1 minus B2,
A2 = B2 minus B3, and
A3 = B3...
Given that A1 = B1 minus B2,
A2 = B2 minus B3, and
A3 = B3 minus B1, Find the joint
p.m.f. (probability mass function) of A1 and
A2, where Ai ~ Ber(p) for all random
variables i in {1,2,3}
Given that A1 = B1 minus
B2,A2 =
B2 minus B3, and
A3 = B3 minus...
Given that A1 = B1 minus
B2,A2 =
B2 minus B3, and
A3 = B3 minus
B1, Find the joint p.m.f.
(probability mass function) of A1 and A2,
where Bi ~ Ber(p) for all
random variables i in {1,2,3}
Given the following *joint probability distribution*, P(A,B),
for A and B,
a1
a2
b1
0.37
0.16...
Given the following *joint probability distribution*, P(A,B),
for A and B,
a1
a2
b1
0.37
0.16
b2
0.23
0.24
Calculate the marginal probability distribution,
P(B).
Calculate the conditional probability distribution,
P(A|B).
Write a function of the form function [x1pts,x2pts] =
unif_over_rect(a1,b1,a2,b2,n) which provides the coordinates
(x1pts(i),x2pts(i)), 1...
Write a function of the form function [x1pts,x2pts] =
unif_over_rect(a1,b1,a2,b2,n) which provides the coordinates
(x1pts(i),x2pts(i)), 1 ≤ _i ≤ _n, of n random darts (more
precisely, realizations of random darts) thrown at the rectangle a1
≤ x1 ≤ b1, a2 ≤ x2 ≤ b2. (The lower left corner of the rectangle is
a1,a2; the upper right corner of the rectangle is b1,b2.) You may
assume that the darts are drawn from the bivariate uniform
distribution over the rectangle and hence...
A four-input (A1, A2, B1, B2) and two-output (Y1, Y2) “BUT” gate
has the following behavior:...
A four-input (A1, A2, B1, B2) and two-output (Y1, Y2) “BUT” gate
has the following behavior:
• Y1 is 1 if A1 and B1 are 1 but either A2 or B2 is 0
• Y2 is defined symmetrically
a. Write logic expressions for Y1 and Y2 outputs of the BUT
gate
b. Draw the corresponding logic diagram using AND gates, OR
gates, and inverters
c. Write a behavioral-style Verilog model for the BUT gate
There are two boxes, A1×B1×C1 and A2×B2×C2 are size of boxes.
Define if it is possible...
There are two boxes, A1×B1×C1 and A2×B2×C2 are size of boxes.
Define if it is possible to totally cover one box in the another.
(Hint: 1x1x1 can be covered by 2x1x1 box)
Input format
A1, B1, C1, A2, B2, C2.
Output format
The program should bring out one of the following lines:
Boxes are equal, if the boxes are the same,
the first box is smaller than the second one, if the first box
can be put in the second,...
Consider the ring R = Z∞ = {(a1,a2,a3,···) : ai ∈ Z for all
i}.
It...
Consider the ring R = Z∞ = {(a1,a2,a3,···) : ai ∈ Z for all
i}.
It turns out that R forms a ring under the operations:
(a1,a2,a3,···)+(b1,b2,b3,···)=(a1 +b1,a2 +b2,a3 +b3,···),
(a1,a2,a3,···)·(b1,b2,b3,···)=(a1 ·b1,a2 ·b2,a3 ·b3,···)
Let I = {(a1,a2,a3,···) ∈ Z∞ : all but finitely many ai are 0}.
You may use without proof the fact that I forms an ideal of R.
a) Is I principal in R? Prove your claim.
b) Is I prime in R? Prove your claim....
Consider the ring R = Z∞ = {(a1,a2,a3,···) : ai ∈ Z for all
i}.
It...
Consider the ring R = Z∞ = {(a1,a2,a3,···) : ai ∈ Z for all
i}.
It turns out that R forms a ring under the operations:
(a1,a2,a3,···)+(b1,b2,b3,···)=(a1 +b1,a2 +b2,a3 +b3,···),
(a1,a2,a3,···)·(b1,b2,b3,···)=(a1 ·b1,a2 ·b2,a3 ·b3,···)
Let I = {(a1,a2,a3,···) ∈ Z∞ : all but finitely many ai are 0}.
You may use without proof the fact that I forms an ideal of R.
a) Is I principal in R? Prove your claim.
b) Is I prime in R? Prove your claim....