The diameter of a particle of contamination (in micrometers) is modeled with the probability density function 𝑓(
Posted: Wed May 11, 2022 9:05 am
The diameter of a particle of contamination (in micrometers) is
modeled with the probability density function 𝑓(𝑥) = 2/𝑥^3 , for
x>1.
Determine the following (round all of your answers to 3 decimal
places):
a. 𝑃(𝑋 < 6)
b. 𝑃(𝑋 > 9)
c. 𝑃(8 < 𝑋 < 12)
d. 𝑃(𝑋 < 8 𝑜𝑟 𝑋 > 12)
e. Determine x, such that 𝑃(𝑋 < 𝑥) = 0.75
modeled with the probability density function 𝑓(𝑥) = 2/𝑥^3 , for
x>1.
Determine the following (round all of your answers to 3 decimal
places):
a. 𝑃(𝑋 < 6)
b. 𝑃(𝑋 > 9)
c. 𝑃(8 < 𝑋 < 12)
d. 𝑃(𝑋 < 8 𝑜𝑟 𝑋 > 12)
e. Determine x, such that 𝑃(𝑋 < 𝑥) = 0.75