3. An electrical voltage is determined by the probability density function for lKx 2 for all other values of x (x) = 1 (This is a uniform distribution.) a) Find its cumulative distribution function for all values of x. b) Find the mean of this probability distribution. c) Find its standard deviation. d) What is the probability that the voltage is within one standard deviation of its mean?
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Its pdf is f(x) = 1/2 for -1 ≤ x ≤ 1, and f(x) = 0 otherwise. Show more…
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3. An electrical voltage is determined by the probability density function f(x) = 1 for 1 ≤ x ≤ 2 f(x) = 0 for all other values of x (This is a uniform distribution.) a) Find its cumulative distribution function for all values of x. b) Find the mean of this probability distribution. c) Find its standard deviation. d) What is the probability that the voltage is within one standard deviation of its mean?
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