Question # 1 of 10 ( Start time: 11:15:20 PM ) Total Marks:
1
From the following table; X f(x) 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36 7 6/36 8 5/36 9 4/36 10 3/36 11 2/36 12 1/36 The value of f(x=5) will be:
Select correct option:
1/36
3/36
4/36
5/36
Question # 2 of 10 ( Start time: 11:15:53 PM ) Total Marks: 1
For a probability density function (pdf), the probability of a single point is
Select correct option:
2
1
0
Constant
Question # 3 of 10 ( Start time: 11:16:54 PM ) Total Marks: 1
The function abbreviated to d.f. is also called the......
Select correct option:
Probability density function
Probability distribution function
Commutative distribution function
Discrete function
Question # 4 of 10 ( Start time: 11:17:52 PM ) Total Marks: 1
P[(X+Y) < 2] =? , where x=0, 1, 2 and y=0, 1, 2
Select correct option:
f(0,0) + f(1,1) + f(1,0)
f(0,1) + f(0,2) + f(2,0)
f(0,0) + f(0,1) + f(1,0)
f(0,0) + f(1,1) + f(2,0)
Question # 5 of 10 ( Start time: 11:19:00 PM ) Total Marks: 1
Let X and Y are two random variables. Which property of expectation is true?
Select correct option:
E(X – Y) = E(X) – E(Y)
E(X – Y) = E(X) – E(Y) + E(XY)
E(X – Y) = E(X) + E(Y) – E(XY)
E(X – Y) = E(X) + E(Y) – 2 E(XY)
Question # 6 of 10 ( Start time: 11:19:30 PM ) Total Marks: 1
When X and Y are ____________ variables, then their joint probability function can be obtained by multiplying together their marginal probability functions.
Select correct option:
Independent
Dependent
Bivariate
Normal
Question # 7 of 10 ( Start time: 11:20:56 PM ) Total Marks: 1
If total probability of joint probability distribution f(x,y) is ONE then what will be the total probability of its marginal pdf h(y)?
Select correct option:
One
Less than one
Anywhere between zero and one
Depend on given values
Question # 8 of 10 ( Start time: 11:25:03 PM ) Total Marks: 1
If X 0 1 2 3 f(x) 1/6 1/3 1/3 1/6 What will be the mean of the following distribution?
Select correct option:
3/2
1/2
4/9
1/3
Question # 9 of 10 ( Start time: 11:26:29 PM ) Total Marks: 1
Uniform distribution is a:
Select correct option:
Discrete distribution
Continuous Distribution
Mixed
None of the above
Question # 10 of 10 ( Start time: 11:26:29 PM ) Total Marks: 1
The cumulative distribution function F(x) for a continuous random variable X is the area under the density curve to the __________ of x.
Select correct option:
Right
Left
Center
None of the above
From the following table; X f(x) 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36 7 6/36 8 5/36 9 4/36 10 3/36 11 2/36 12 1/36 The value of f(x=5) will be:
Select correct option:
1/36
3/36
4/36
5/36
Question # 2 of 10 ( Start time: 11:15:53 PM ) Total Marks: 1
For a probability density function (pdf), the probability of a single point is
Select correct option:
2
1
0
Constant
Question # 3 of 10 ( Start time: 11:16:54 PM ) Total Marks: 1
The function abbreviated to d.f. is also called the......
Select correct option:
Probability density function
Probability distribution function
Commutative distribution function
Discrete function
Question # 4 of 10 ( Start time: 11:17:52 PM ) Total Marks: 1
P[(X+Y) < 2] =? , where x=0, 1, 2 and y=0, 1, 2
Select correct option:
f(0,0) + f(1,1) + f(1,0)
f(0,1) + f(0,2) + f(2,0)
f(0,0) + f(0,1) + f(1,0)
f(0,0) + f(1,1) + f(2,0)
Question # 5 of 10 ( Start time: 11:19:00 PM ) Total Marks: 1
Let X and Y are two random variables. Which property of expectation is true?
Select correct option:
E(X – Y) = E(X) – E(Y)
E(X – Y) = E(X) – E(Y) + E(XY)
E(X – Y) = E(X) + E(Y) – E(XY)
E(X – Y) = E(X) + E(Y) – 2 E(XY)
Question # 6 of 10 ( Start time: 11:19:30 PM ) Total Marks: 1
When X and Y are ____________ variables, then their joint probability function can be obtained by multiplying together their marginal probability functions.
Select correct option:
Independent
Dependent
Bivariate
Normal
Question # 7 of 10 ( Start time: 11:20:56 PM ) Total Marks: 1
If total probability of joint probability distribution f(x,y) is ONE then what will be the total probability of its marginal pdf h(y)?
Select correct option:
One
Less than one
Anywhere between zero and one
Depend on given values
Question # 8 of 10 ( Start time: 11:25:03 PM ) Total Marks: 1
If X 0 1 2 3 f(x) 1/6 1/3 1/3 1/6 What will be the mean of the following distribution?
Select correct option:
3/2
1/2
4/9
1/3
Question # 9 of 10 ( Start time: 11:26:29 PM ) Total Marks: 1
Uniform distribution is a:
Select correct option:
Discrete distribution
Continuous Distribution
Mixed
None of the above
Question # 10 of 10 ( Start time: 11:26:29 PM ) Total Marks: 1
The cumulative distribution function F(x) for a continuous random variable X is the area under the density curve to the __________ of x.
Select correct option:
Right
Left
Center
None of the above
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