Answer:
c) 2
d) 0.96
Step-by-step explanation:
We are given the following in the question:
a) probability density function.
![\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B%5Cinfty%7Df%28x%29%20dx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B-%5Cinfty%7D2x%5E%7B-3%7Ddx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B1%7D2x%5E%7B-3%7Ddx%5C%5C%5C%5C%5CRightarrow%20%5Cbig%5B-x%5E%7B-2%7D%5Cbig%5D%5E%7B%5Cinfty%7D_1%5C%5C%5C%5C%5CRightarrow%20-%280-1%29%20%3D%201)
Thus, it is a probability density function.
b) cumulative distribution function.
c) mean of the distribution
d) probability that the size of random particle will be less than 5 micrometers
Answer:
<u>12</u>
Step-by-step explanation:
Well, I am pretty sure you are looking for the length.
Since area = length x width, I would say that you could divide as well.
120 = 10 x <u>12</u>
I am pretty sure the length is <u>12.</u>
<u></u>
:)
Answer:
3-10-(15) equals 8.
Step-by-step explanation:
3-10 equals -7. Then -(-15) becomes a positive because two negatives make a positives producing +15 so it becomes -7+15 which finally becomes 8.
Answer:
27.50
Step-by-step explanation:
109.99=100%
10.999=10%
21.998=20%
27.4975=25%
so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49
Answer
D. 3m - 4/3 -2/m
<u>Explanation</u>
(9m²-4m-6) ÷ 3m = 9m²/3m - 4m/3m - 6/3m
Carry out the division, each term is divided by 3m.
9m²/3m = 3m
- 4m/3m = -4/3
- 6/3m = - 2/m
Finally you will get,
<em>3m - 4/3 -2/m</em>
