Let X be a continuous random variable with uniform distribution on the interval [18, 95], then the probability density function of X is: O a. f(x) = 0.01 O b. None of the answers. O c. f(x) = 56.50 d. f(x) = 77.00
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![Let X be a continuous random variable with
uniform distribution on the interval [18, 95],
then the probability density function of X is:
a. f(x) = 0.01
O b. None of the answers.
O c. f(x) = 56.50
O d. f(x) = 77.00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bba66a9-8768-4db6-a5d6-53f9d3fb4959%2Fa38f681a-1068-4638-864f-46037288f919%2Fdiyz5s_processed.jpeg&w=3840&q=75)
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- Suppose a random variable X has a probability density function given by O elsewhere f (x) = kx (1 − x) 0 ≤ x ≤ 1 0 elsewhere a. Find the value of k that makes this a probability density function b. Find P (0.4 ≤ x ≤ 1) c. Find P(x ≤ 0.4) d. Find P (0.8 ≤ x))5Let the random variable X has probability density function given by x2-2x+2 0Q2. The probability density function of X is as follows. f(x) = 2 - 2x, for x = [0, 1] Which one of the following expressions can be used to find P(0.5 < X < 1.5)? F(x) is the cumulative distribution function of X. (A) 1 - F(0.5) (C) F (1.5)-f(0.5) (B) f(1.5)-f(0.5) (D) 1.5 (2 - 2x) dx (E) otherFor a random variable which can be defined using the probability density function below, what is the probability that X is between 1.5 and 3.2? f(x) = {C(1+ x) ,1For a random variable which can be defined using the probability density function below, what is the probability that X is between 1.3 and 3.1? с (1 + х) ,1 <Let X be a random variable with probability density function, What is the value of c? f(x) = cx(5-x) for 0≤x≤ 5 0 otherwise O 7/28 O 6/125 O 8/81 Does not existLet fx(x) be the probability density function of the random variable X. 3 22-4< e< 4; Ka) - f(z) = { 128 otherwise. Determine the E{X}. [The answer should be a number rounded to five decimal places, don't use symbols such as %Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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