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# Random Variable

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Here are questions 33 and 34 to assist in answering question 52.
33) Let X be a random variable with probability density
f(x)={c(1-x^2), -1<x<1
0 otherwise
(a) What is the value of c?
(b) What is the cumulative distribution function of X?

34) Let the probability density of X be given by
f(x)={c(4x-2x^2), 0<x<2
otherwise
0(this zero is right under the c and is enclosed in the bracket)
(a) What is the value of c?
(b) P{1/2<X<3/2}=?

37) Let X1, X2, ...., Xn be independent random variables, each having a uniform distribution function of M, Fm (.), is given by
Fm(x)=x^n, 0(less than or equal to)x(less than or equal to) 1
What is the probability density function of M?

##### Solution Summary

Here are questions 33 and 34 to assist in answering question 52.
33) Let X be a random variable with probability density
f(x)={c(1-x^2), -1<x<1
0 otherwise
(a) What is the value of c?
(b) What is the cumulative distribution function of X?

34) Let the probability density of X be given by
f(x)={c(4x-2x^2), 0<x<2
otherwise
0(this zero is right under the c and is enclosed in the bracket)
(a) What is the value of c?
(b) P{1/2<X<3/2}=?

37) Let X1, X2, ...., Xn be independent random variables, each having a uniform distribution function of M, Fm (.), is given by
Fm(x)=x^n, 0(less than or equal to)x(less than or equal to) 1
What is the probability density function of M?

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.