nakeytrag
23.02.2021 •
Mathematics
The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.
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Ответ:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
For point a:
Moment generating function of X=?
Using formula:
integrating the values by parts:
Therefore, the moment value generating by the function is
In point b:
Using formula:
form point (a):
Differentiating the value with respect of t
when
Ответ:
The shape is a kite and x=26
Step-by-step explanation:
The shape is a kite because the two adjacent sides at the right match and the two sides on the left match
To find x:
125+125=250
360-250=110
(3x-11)+(2x-9)=110
Combine like terms: 5x-20=110
Add 20 to both sides: 5x-20+20=110+20
5x=130
Divide both sides by 5: 5x/5=130/5
x=26