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:
11 days
Step-by-step explanation:
380-160=220
20 times 11 =220
answer 11 days
Answer:
Step-by-step explanation:
Deal #1: One pizza= $8.99
Deal #2: One pizza= $6.00
Deal #1: Two pizzas= $13.99
Deal #2: Two pizzas= $12.00
Deal #1: Three pizzas= $18.99
Deal #2: Three pizzas= $18.00
Deal #1: Four pizzas= $23.99
Deal #2: Four pizzas= $24.00
Therefore, after FOUR pizzas, deal #1 becomes a better deal.
Tip: Practice some math. You should be able to answer something like this within two minutes MAXIMUM.
Answer:
9
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
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