Mathematics, 11.03.2020 04:26 taytay210
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 IT 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 . Var(IA−IB)=
Answers: 3
![var(IA) = E(IA)^2 - [E(IA)]^2\\=I^2\dot P(A) + 0^2(I-P(A))-[1P(A)+0(I-P(A))]^2\\=P(A)+0-[P(A)+0]^2\\=P(A)-[P(A)]^2\\=P(A)[1-P(A)]](/tpl/images/0542/4317/0a351.png)
![P[1-P]\\\therefore\, var(IA)=P[1-P]...(1)](/tpl/images/0542/4317/cc120.png)
![cov(IA,\, IB)=E(IA\dot IB)-E(IA)E(IB)\\=1\times P(AnB)+[0times P(AnB)^c]-P\times q](/tpl/images/0542/4317/c9dbb.png)
Another question on Mathematics
Mathematics, 21.06.2019 14:10
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. the mean arrival rate is 10 passengers per minutes. compute the following probabilities. p(x = 4) p(x > 11)
Answers: 2
Mathematics, 21.06.2019 14:30
If anyone has done the algebra 2 chaos theory portfolio would you be wiling to me? i kind of know what i'm doing i just don't know if i'm doing it right.
Answers: 1
Mathematics, 21.06.2019 15:40
Marya wants to factor the polynomial 36x^3 -22x^2 - 144x.which term can she add to the polynomial that would not change its grestest common factor? check all that apply
Answers: 3
Mathematics, 22.06.2019 00:10
Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10
Answers: 1
You know the right answer?
Let A be an event, and let IA be the associated indicator random variable ( IA is 1 if A occurs, and...
Questions
English, 02.08.2019 08:00
Mathematics, 02.08.2019 08:00
Social Studies, 02.08.2019 08:00
Mathematics, 02.08.2019 08:00
Mathematics, 02.08.2019 08:00
Mathematics, 02.08.2019 08:00
Mathematics, 02.08.2019 08:00
