Statistical Independence-Statistics-Solved Quizes, Exams of Statistics

Statistics study consist on topics like estimates, F distribution, sampling, multiplication theorems, probability, random variable, T distribution, geometric probability distribution, marginal probability, skewness, symmetrical distribution and transformation. This solved quiz includes: Statistical, Independence, Discrete, Random, Variable, Srandard, Deviation, Mean, Confidence, Interval, Distribution, Function, Test

Typology: Exams

2011/2012

Uploaded on 08/12/2012

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STA301 Solved MCQz by Muhammad Ishfaq
Page No.1
STA301- MCQs:
Question No: 21 ( Marks: 1 )
If
0
P X
=
1
8
,
1
P X
=
3
8
,
2
P X
=
3
8
and
( 3)
P X
=
1
8
Then find F (1)
Question No: 22 ( Marks: 2 )
Write down
the formula of mathematical expectation.
e=(w * p) + (-v *1). e
Question No: 23 ( Marks: 3 )
Discuss the
statistical independence of two discrete random variables:
Question No: 24 ( Marks: 3 )
For given
data calculate the mean and standard deviation of sampling distribution of mean if the
sampling is down without replacement.
1000, 25, 68.5, 2.7
N n
Question No: 25 ( Marks: 3 )
Elaborate the
Least Significant Difference (LSD) Test.
Question No: 26 ( Marks: 3 )
State the
Bayes’ Theorem.
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STA301- MCQs:

Question No: 21 ( Marks: 1 ) If

P  X  0 

P  X  1 

P  X  2 

and

P X (  3)

Then find F (1) Question No: 22 ( Marks: 2 ) Write down the formula of mathematical expectation. e=(w * p) + (-v *1). e Question No: 23 ( Marks: 3 ) Discuss the statistical independence of two discrete random variables: Question No: 24 ( Marks: 3 ) For given data calculate the mean and standard deviation of sampling distribution of mean if the sampling is down without replacement. N  1000, n  25,  68.5, 2. Question No: 25 ( Marks: 3 ) Elaborate the Least Significant Difference (LSD) Test. Question No: 26 ( Marks: 3 ) State the Bayes’ Theorem.

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and variances of the weekly incomes in rupees of two samples of workers are given in the following table, the samples being randomly drawn from two different factories: Calculate the 90% confidence interval for the real difference in the incomes of the workers from the two factories. Question No: 28 ( Marks: 5 ) From the given data n  1340, x  723, p . and H (^) 0 : P 0 (^)  0.5 against H 1 (^) : P 0  0. . Carry out the significance test for the stated hypothesis. Question No: 29 ( Marks: 5 ) Given the Probability density function . Compute the distribution function F(x). Question No: 30 ( Marks: 10 ) 1 f(x,y) (6 – x – y), 0 x 2; 2 y 4, 8 0 , elsewhere

a) Verify that f(x,y) is a joint density function. b) Calculate

, Y

P X 

Question No: 31 ( Marks: 10 ) Factory Sample Size Mean Variance A 160 12.80 64 B 220 11.25 47   

elsewhere for x f x x 0 ,

2 ,^02

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