Answer:
attached below
Step-by-step explanation:
Given : FX (x) = 3/4x (2-x) 0 ≤ x ≤ 2
a) Calculate the cumulative distribution function FX
Cdf =
attached below is the detailed solution
b) Let Y = √ X. determine CDF
attached below
c) calculate PDF
L would measure at 54°. Because the angels of a triangle measure up to 180, you can set the equation up like this: 5x + 3x + 2x = 180. These are like values, so you can add them together to simplify a bit, yielding 10x = 180. Divide 180 by 10 to get x by itself, giving you 18. L = 3x, so 3(18) = 54.
The total numbers with 10 digits are 9*10*10*10*10*10*10*10*10*10 = 9*(10^9)
If you are restricted to use no 1s, the numbers are 8*(9^9)
Then, the probability is : numbers with no 1s / total numbers
= 8*(9^9) / [9*(10^9)]= 0.344
