Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
65.3%
Step-by-step explanation:
Binomial distribution PMF below (along with a description)
the probabilty of getting 2, 3, or 4 successes in 5 trials is just
p(2)+p(3)+p(4)
p(2)= 5C2*.4²*(1-.4)³ = .3456
p(3)= 5C3*.4³*(1-.4)²= .2304
p(4)= 5C4*.4⁴*(1-.4)=.0768
.3456+.2304+.0768= .6528
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
![T_{n} = an^{2} +bn +c](https://tex.z-dn.net/?f=T_%7Bn%7D%20%3D%20an%5E%7B2%7D%20%20%2Bbn%20%2Bc)
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute
and
into the equation above:
Since
= -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :
![T_{n} = -2n^{2}](https://tex.z-dn.net/?f=T_%7Bn%7D%20%3D%20-2n%5E%7B2%7D)