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- f(x), a continuous probability function, is equal to 1 , and the function is restricted to 0 ≤ x ≤ 12. What is P (0 < x <12)?f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0 ≤ x ≤ 12. What is P(0 < x < 12)? Answer to the first decimal place.f(x) for a continuous probability function is 1/18 , and the function is restricted to 2 ≤ x ≤ 20. What is P(x < 2)?
- For the continuous probability function f(x ) = kx^2e^-x when 0≤x≤1. Find (a)k (b)mean (c)variancesuppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then P(X>1)If X is a continuous variable in the range 3 > X > 0 and its distribution function is as follows: F ( x ) = k : ( x3 + x2) find the probability density function?
- Consider a function F (x ) = 0, if x < 0 F (x ) = 1 − e^(−x) , if x ≥ 0 Is the corresponding random variable continuous?Find the moment-generating function of the continuous random variable X whose probability density is given by f(x) = 1 for 0 < x < 1 0 elsewhere and use it to find μ’1,μ’2, and σ^2.If X has the exponential distribution given by f(x) =0.5 e−0.5x, x > 0, find the probability that x > 1.
- A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0Find the value of k that makes the given function a probability density function on the specified interval.f(x) = kx2, 0 ≤ x ≤ 2Consider the continuous probability density function defined by y= - 0.02x + 0.102 on -4.9 < x < 5.1 P(X > -0.9) = P(X < -0.9)