The probability density function of a random variable X is fX(x) { b(1 −x)4 0 ≤x ≤1 , 0 elsewhere (a) Find b such that fX(x) is a valid density function. (b) Find the probability that X is less than 1/2. (c) Find the probability that X is less than 1/4 given that X < 1/2
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The
(a) Find b such that fX(x) is a valid density function.
(b) Find the probability that X is less than 1/2.
(c) Find the probability that X is less than 1/4 given that X < 1/2
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- The probability density function(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a random variable whose probability density is: f(x) - ਵਿਆ = 0 x xe 3 six>0 six<0 The city's electric power plant has a daily capacity of 12 million kWh. a. Verify that the given function is a probability density function. b. Calculate the probability that the power plant cannot meet the demand for electric power.Find the value of k that makes the given function a probability density function on the specified interval. f(x) = kx 2 ≤ x ≤ 6 k= || =
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