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# Cumulative Distribution and Probability Density Function and Expected Value

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1. Let X be a continuous random variable, with
P(X>x) = (1-x)^2 0&#8804;x&#8804;1
(i) Find the cumulative distribution function of X.
(ii) Find the probability density function of X.
(iii) Find the expected value of X.

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Cumulative Distribution and Probability Density Functions and Expected Values are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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(i) since the cumulative distribution function (cdf) is the probability that the variable takes a value less than or equal to x. That is ...

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### 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.