# Question 1. Show using integration that k = 3/2 2. Using this value of k, determine the expected value or mean of X. 3. Determine the following probabilities, show all your calculations. 3. Consider the following probability density function of a continuous random variable X: f(x) = =) = {1x06 {kova tore or fete si elsewhere 1 p(x = 2 i. P|X< 2 1 <x< 1 2 Determine the cumulative distribution function of X, F(x). (Hint: F(x) will also be a piecewise-defined function.]

0A76F7 The Asker · Probability and Statistics

1. Show using integration that k = 3/2

2. Using this value of k, determine the expected value or mean of X.

3. Determine the following probabilities, show all your calculations.

3.

Transcribed Image Text: Consider the following probability density function of a continuous random variable X: f(x) = =) = {1x06 {kova tore or fete si elsewhere 1 p(x = 2 i. P|X< 2 1
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Transcribed Image Text: Consider the following probability density function of a continuous random variable X: f(x) = =) = {1x06 {kova tore or fete si elsewhere 1 p(x = 2 i. P|X< 2 1