5 A random variable x can take values from the range (-∞, ∞). The probability of a measured value of x to be in the rang

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5 A Random Variable X Can Take Values From The Range The Probability Of A Measured Value Of X To Be In The Rang 1 (60.15 KiB) Viewed 41 times

5 A random variable x can take values from the range (-∞, ∞). The probability of a measured value of x to be in the range (x,x + dx) is given by p(x)dx = Ce-x²+xdx, where C is a constant. a) Write down the normalisation condition for p(x). Evaluate the integral in this condition by completing the square in the exponential, and determine C. [2] b) Find the average value of x. [3]