k (5) If P(x)= x! (4- x)! x= 0,1, 2, 3,4, is probability density function of x, then k equals to (а) 3/4 (b) 3/2 (c) 2 (d) 3 (e) None of these
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- 6.The continuous random variable X has the probability density function given by 1 -2 < x < 4 f(x) = otherwise Determine P(X < 2)4. Let x be a continuous random variable with the following probability density function 3 (2 – x) 0 < x< 2 f (x) = else (a) Find E(x) (b) Find Var(x)k (5) If P(x) = x= 0,1, 2, 3,4, is probability density function of x, x! (4- x)!" then k equals to (a) 3/4 (b) 3/2 (c) 2 (d) 3 (e) None of these a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer
- 6. Roughly, speaking, we can use probability density functions to model the likelihood of an event occurring. Formally, a probability density function on (-x, o0) is a function f such that f(r) 20 and (2) = = 1. (a) Determine which of the following functions are probability density functions on the (-x0, 00). fr-1 00 (b) We can also use probability density functions to find the erpected value of the outcomes of the event - if we repeated a probability experiment many times, the expected value will equal the average of the outcomes of the experiment. (e.g. rf(x) dr yields the expected value for a density f(r) with domain on the real numbers.) Find the expected value for one of the valid probability densities above.!!b) Suppose that a sequence of mutually independent and identically distributed continuous random variables X₁, X₂, X3X₁ has the probability density function 1 (x-8)² 2 for -00Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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