I. Say true or false. The area under a Probability density function is close to 1. a) b) The mean and variance of normal distribution are 0 and 1 respectively. _The chi-square is a special kind of gamma distribution with a = v/2 and B=3. _The Beta distribution is a special kind of Uniform distribution. _The small sample size imply less error in the estimation of a c) d) e) parameter. _If Variable Y is distributed Chis-square with 10 degrees of freedom, its variance is 5. If the sample size increase the width of the Confidence interval decreases. The standard Beta distribution is defined in the interval a to b. f) g) h) i) _If we can identify the value of the parameters of a gamma distributed function. we can evaluate the mean and variance of the distribution. j) If value of A =20 and B = 30 of a uniform distribution then the mean of the distribution is 28. _Type I error and type II error may increase as the sample size k) decrease. As B increase the power of the test increase. _Type I error is more serious than type II error _I the correlation coefficient between two variables is > 0.5, it implies there is strong relationship between the variables. The mean of Beta distribution with parameters a and B is aß. m) n) 0)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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I.
Say true or false.
The area under a Probability density function is close to 1.
a)
b)
The mean and variance of normal distribution are 0 and 1
respectively.
_The chi-square is a special kind of gamma distribution with a =
v/2 and B=3.
_The Beta distribution is a special kind of Uniform distribution.
_The small sample size imply less error in the estimation of a
c)
d)
e)
parameter.
_If Variable Y is distributed Chis-square with 10 degrees of
freedom, its variance is 5.
If the sample size increase the width of the Confidence interval
decreases.
The standard Beta distribution is defined in the interval a to b.
f)
g)
h)
i)
_If we can identify the value of the parameters of a gamma
distributed function. we can evaluate the mean and variance of
the distribution.
j)
If value of A =20 and B = 30 of a uniform distribution then the
mean of the distribution is 28.
_Type I error and type II error may increase as the sample size
k)
decrease.
As B increase the power of the test increase.
_Type I error is more serious than type II error
_I the correlation coefficient between two variables is > 0.5, it
implies there is strong relationship between the variables.
The mean of Beta distribution with parameters a and B is aß.
m)
n)
0)
Transcribed Image Text:I. Say true or false. The area under a Probability density function is close to 1. a) b) The mean and variance of normal distribution are 0 and 1 respectively. _The chi-square is a special kind of gamma distribution with a = v/2 and B=3. _The Beta distribution is a special kind of Uniform distribution. _The small sample size imply less error in the estimation of a c) d) e) parameter. _If Variable Y is distributed Chis-square with 10 degrees of freedom, its variance is 5. If the sample size increase the width of the Confidence interval decreases. The standard Beta distribution is defined in the interval a to b. f) g) h) i) _If we can identify the value of the parameters of a gamma distributed function. we can evaluate the mean and variance of the distribution. j) If value of A =20 and B = 30 of a uniform distribution then the mean of the distribution is 28. _Type I error and type II error may increase as the sample size k) decrease. As B increase the power of the test increase. _Type I error is more serious than type II error _I the correlation coefficient between two variables is > 0.5, it implies there is strong relationship between the variables. The mean of Beta distribution with parameters a and B is aß. m) n) 0)
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