Answer:
(a) P(X=1)=0.46
(b) E[X]=1.3
Step-by-step explanation:
(a)
Let A be the event that first coin will land on heads and B be the event that second coin will land on heads.
According to the given information
P(X=1) is the probability of getting exactly one head.
P(X=1) = P(1st heads and 2nd tails ∪ 1st tails and 2nd heads)
= P(1st heads and 2nd tails) + P(1st tails and 2nd heads)
Since the two events are disjoint, therefore we get
Therefore the value of P(X=1) is 0.46.
(b)
Thevalue of E[X] is
![E[X]=\sum_{x}xP(X=x)](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Csum_%7Bx%7DxP%28X%3Dx%29)
![E[X]=0P(X=0)+1P(X=1)+2P(X=2)](https://tex.z-dn.net/?f=E%5BX%5D%3D0P%28X%3D0%29%2B1P%28X%3D1%29%2B2P%28X%3D2%29)
![E[X]=P(X=1)+2P(X=2)](https://tex.z-dn.net/?f=E%5BX%5D%3DP%28X%3D1%29%2B2P%28X%3D2%29)
..... (1)
First we calculate the value of P(X=2).
P{X = 2} = P(1st heads and 2nd heads)
= P(1st heads)P(2nd heads)
Substitute P(X=1)=0.46 and P(X=2)=0.42 in equation (1).
![E[X]=0.46+2(0.42)](https://tex.z-dn.net/?f=E%5BX%5D%3D0.46%2B2%280.42%29)
![E[X]=1.3](https://tex.z-dn.net/?f=E%5BX%5D%3D1.3)
Therefore the value of E[X] is 1.3.
The opposite of -4.1 would be 4.1
Answer:
The answer is 0.
Step-by-step explanation:
Simply plug in -7 for x as they want to see what the value of the function is when x=-7.
You can then just add -7 and 7.
7 + -7 = 0
So the answer is 0
So the change in between terms is 5 so you would put 5x, then for the first term, which is 2, 5*1(x)(because it's first term) then the difference between 5-2(because it's the 2nd term) So you would plug 100 in for x so 5(100)-3=497. Hope this helped!
Answer:
1. This is a "RANDOMIZED CONTROLLED EXPERIMENT".
A randomized controlled experiment is a type of research study, were the researcher randomly select samples in other not to be biased. This samples are separated into two groups, which are the experimental and the controlled group.
2. The research has a treatment group and a controlled group.
A treatment group are those group that received some special treatment from the researcher, it can also be called the experimental group. According to the research, the treatment group are those who are in the POVERTA scheme. That is the 320 communities.
A controlled group are those group that were not given any special treatment, but are , separated and studied. According to the research the controlled group are those 185 communities
3. This research provides evidence that being in a community receiving POVERTA benefits is associated with a lower rate of childhood illness. Because after two years, it was noticed the children in the community that receives POVERTA has low rate of illness, than the children in a community that doesn't receive the benefits of POVERTA.
4. This study does not provide evidence that being in a community receiving POVERTA benefits causes a lower rate of childhood illness. Because the research did not involve treatment of illnesses and they is no experimental evidence that shows that POVERTA benefits is interrelated with illness, as illness involves the internal functions of human body.
5. Such study will be called a "RANDOMIZED CONTROLLED EXPERIMENT". Because their randomly isolated themselves, and the POVERTA treatment was not given to them. The researcher was not based in selecting them not to participate.
