Alg1231W12T4 - Cumulative distribution functions

Saturday, 20 October 2018

10:28 PM

Machine generated alternative text:
A certain discrete random variable X has a discrete probability distribution with
PI = = 1) —
0.3
0.2
0.1
0
1
1
1
1
4
Then the associated cumulative distribution function given by F@) = P(X < x) will return values
F(3.3) =

Machine generated alternative text:
A certain continuous random variable Y has a probability density function
for
2 10
and zero otherwise.
i) The value of the constant c is 1/48
ii) The cumulative distribution function is given by
- 4)/96
for
f(y) ¯
2Sy<10,
10 < y.
iii) The expected value of Y is E(Y)
992/144

Machine generated alternative text:
Another certain continuous random variable W has a probability density function
for
and zero otherwise.
i) The value of the constant d is 1/1n(3)
ii) The cumulative distribution function is given by
1
iii) Find b such that P(W < b)
for
for
b
iv) Find E(W)
2/111(3)

Machine generated alternative text:
The cumulative distribution function of a random variable T happens to be
i) Which is the shape of the probability density function for T ?
0.25
0.25
0.25
0.25
-20+12t
16

Machine generated alternative text:
ii) What is P (T < 5) ? It is
iii) What is P(T > 4) Q It is
iv) What is P(4 < T < 5) ? It is