Question # 1 of 10 ( Start time: 11:30:04 PM ) Total Marks:
1
Match the binomial probability P(x< 23) with the correct statement.
Select correct option:
P(there are at most 23 successes)
P (there are fewer than 23 successes)
P (there are more than 23 successes)
P (there are at least 23 successes)
Question # 2 of 10 ( Start time: 11:31:54 PM ) Total Marks: 1
In a bivariate probability distribution of X and Y, If f(1,1)=4/15, g(1)=2/3, h(1)=2/5, then
Select correct option:
X and Y are statistically independent
X and Y are not statistically independent
Both of these
None of these
Question # 3 of 10 ( Start time: 11:32:29 PM ) Total Marks: 1
The moment ratios b1 and b2 of normal distribution are:
Select correct option:
0 and 1
0 and 2
0 and 3
0 and 4
Question # 4 of 10 ( Start time: 11:32:56 PM ) Total Marks: 1
If X and Y are independent random variables, then Cov (X, Y) =
Select correct option:
0.5
0
2
1
Question # 5 of 10 ( Start time: 11:33:57 PM ) Total Marks: 1
When the random variables X and Y are independent, then its co-variance must be:
Select correct option:
One
Zero
Positive
Negative
Question # 6 of 10 ( Start time: 11:34:52 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=3) will be:
Select correct option:
1/36
2/36
3/36
7/36
Question # 7 of 10 ( Start time: 11:35:20 PM ) Total Marks: 1
In hyper geometric distribution probability of success always:
Select correct option:
is constant from trial to trial
Varies from trial to trial
sometimes varies and sometimes is constant
None of the above
Question # 8 of 10 ( Start time: 11:36:17 PM ) Total Marks: 1
Let the random variable Z have the standard normal distribution. P (Z > 1.96) is:
Select correct option:
0.6334
0.5750
0.0250
0.6210
Question # 9 of 10 ( Start time: 11:37:29 PM ) Total Marks: 1
In hyper geometric distribution; N= number of units in the population, n = number of units in the sample and k = number of successes in the population, then Variance of hyper geometric distribution is defined as:
Select correct option:
n.k/N(1-k/N)(N-n/N-1)
n.k/N(1-n/N)(N-n/N-1)
n.k/N(1-k/n)(N-n/N-1)
n.k/n(1-k/N)(N-n/N-1)
Question # 10 of 10 ( Start time: 11:38:47 PM ) Total Marks: 1
Two independent variables have bivariate distribution, then E(X.Y) =
Select correct option:
X.E(Y)
E(X).E(Y)
Y.E(X)
X.Y
Match the binomial probability P(x< 23) with the correct statement.
Select correct option:
P(there are at most 23 successes)
P (there are fewer than 23 successes)
P (there are more than 23 successes)
P (there are at least 23 successes)
Question # 2 of 10 ( Start time: 11:31:54 PM ) Total Marks: 1
In a bivariate probability distribution of X and Y, If f(1,1)=4/15, g(1)=2/3, h(1)=2/5, then
Select correct option:
X and Y are statistically independent
X and Y are not statistically independent
Both of these
None of these
Question # 3 of 10 ( Start time: 11:32:29 PM ) Total Marks: 1
The moment ratios b1 and b2 of normal distribution are:
Select correct option:
0 and 1
0 and 2
0 and 3
0 and 4
Question # 4 of 10 ( Start time: 11:32:56 PM ) Total Marks: 1
If X and Y are independent random variables, then Cov (X, Y) =
Select correct option:
0.5
0
2
1
Question # 5 of 10 ( Start time: 11:33:57 PM ) Total Marks: 1
When the random variables X and Y are independent, then its co-variance must be:
Select correct option:
One
Zero
Positive
Negative
Question # 6 of 10 ( Start time: 11:34:52 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=3) will be:
Select correct option:
1/36
2/36
3/36
7/36
Question # 7 of 10 ( Start time: 11:35:20 PM ) Total Marks: 1
In hyper geometric distribution probability of success always:
Select correct option:
is constant from trial to trial
Varies from trial to trial
sometimes varies and sometimes is constant
None of the above
Question # 8 of 10 ( Start time: 11:36:17 PM ) Total Marks: 1
Let the random variable Z have the standard normal distribution. P (Z > 1.96) is:
Select correct option:
0.6334
0.5750
0.0250
0.6210
Question # 9 of 10 ( Start time: 11:37:29 PM ) Total Marks: 1
In hyper geometric distribution; N= number of units in the population, n = number of units in the sample and k = number of successes in the population, then Variance of hyper geometric distribution is defined as:
Select correct option:
n.k/N(1-k/N)(N-n/N-1)
n.k/N(1-n/N)(N-n/N-1)
n.k/N(1-k/n)(N-n/N-1)
n.k/n(1-k/N)(N-n/N-1)
Question # 10 of 10 ( Start time: 11:38:47 PM ) Total Marks: 1
Two independent variables have bivariate distribution, then E(X.Y) =
Select correct option:
X.E(Y)
E(X).E(Y)
Y.E(X)
X.Y
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