
has CDF

where

is the CDF of

. Since

are iid. with the standard uniform distribution, we have

and so

Differentiate the CDF with respect to

to obtain the PDF:

i.e.

has a Beta distribution

.
Answer:
4(3 * 39 – 12) = 5(2 * 39 + 6)
x = 39
Step-by-step explanation:
4(3x – 12) = 5(2x + 6)
(12x - 48) = (10x + 30)
12x - 10x = 30 + 48
2x = 78
2x/2 = x
78/2 = 39
x = 39
No Prob :)
Since the spinner has 5 slots it contains 3 odd and 2 evens,
this can be expressed as
, cross multiply and we get

%
Answer:
Volume of a sphere = 4πr³/3
r=10
V = 4πx10³/3
=4000π/3
V= 1333.33π (in terms of pi)
or
V= 4188.79(Nearest Hundredth).