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

 

 

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