Let
triangle ABC be a triangle with excenters Ia, Ib, and Ic. Assume
that triangle IaIbIc...
Let
triangle ABC be a triangle with excenters Ia, Ib, and Ic. Assume
that triangle IaIbIc is equilateral and show triangle ABC is
equilateral.
Let A be an event, and let IA be the associated indicator random
variable: IA(ω)=1 if...
Let A be an event, and let IA be the associated indicator random
variable: IA(ω)=1 if ω∈A, and IA(ω)=0 if ω∉A. Similarly, let IB be
the indicator of another event, B. Suppose that, P(A)=p, P(B)=q,
and P(A∪B)=r.
Find E[(IA−IB)2] in terms of p,q,r?
2.Determine Var(IA−IB) in terms of p,q,r?
Let A be an event, and
let IA be the associated indicator random variable: IA(ω)=1 if...
Let A be an event, and
let IA be the associated indicator random variable: IA(ω)=1 if ω∈A,
and IA(ω)=0 if ω∉A. Similarly, let IB be the indicator of another
event, B. Suppose that, P(A)=p, P(B)=q, and P(A intersection
B)=r.
Find E[(IA−IB)2] in
terms of p,q,r?
2.Determine Var(IA−IB)
in terms of p,q,r?
The solution in Chegg
is for P(AUB)=r instead of P(A intersection B)=r. I need to know
how to find Var(IA−IB) in terms of p,q,r?
For an electromechanic directional relay, (develop equation to
prove your solution)
a. If Ia = 10...
For an electromechanic directional relay, (develop equation to
prove your solution)
a. If Ia = 10 Amps and Iop = 20 Amps, will the relay
operate?
b. If Ia = -10 Amps and Iop = 20 Amps, will the relay
operate?
c. If Ia = 10 Amps and Iop = -20 Amps, will the relay
operate?
d. If Ia = -10 Amps and Iop = -20 Amps, will the relay
operate?
Let A be an event, and let IA be the associated indicator random
variable (IA is...
Let A be an event, and let IA be the associated indicator random
variable (IA is 1 if A occurs, and zero if A does not occur).
Similarly, let IB be the indicator of another event, B. Suppose
that P(A)=p, P(B)=q, and P(A∩B)=r.
Find the variance of IA−IB, in terms of p, q, r.
Let n∈N, and let a1,a2,...an∈R. Prove that
|a1+a2+...+an|<or=|a1|+|a2|+...+|an|
Let n∈N, and let a1,a2,...an∈R. Prove that
|a1+a2+...+an|<or=|a1|+|a2|+...+|an|
Analyze the 555 timer IC circuit (i.e. prove your answer) to
obtain the following if the...
Analyze the 555 timer IC circuit (i.e. prove your answer) to
obtain the following if the voltage across the capacitor is 0.5
Vcc; outputs of the comparator (High/Low), R, S, and Q pins of the
flip flop , state of the capacitor (charging /discharging). Also
draw the circuit
(4) Prove that, if A1, A2, ..., An are countable sets, then A1 ∪
A2 ∪...
(4) Prove that, if A1, A2, ..., An are countable sets, then A1 ∪
A2 ∪ ... ∪ An is countable. (Hint: Induction.)
(6) Let F be the set of all functions from R to R. Show that |F|
> 2 ℵ0 . (Hint: Find an injective function from P(R) to F.)
(7) Let X = {1, 2, 3, 4}, Y = {5, 6, 7, 8}, T = {∅, {1}, {4},
{1, 4}, {1, 2, 3, 4}}, and S =...