20 Select the correct answer. For what constant k is RX) = ke *- 1 a probability density function on [0,1]? O A. 0.632 B. 1.5819 OC. 1.9312 OD. 2.2241
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- Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) = kx; [1, 5]Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx; [1, 5]Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) = kx5; [0, 6]
- Find a value of k that will make f a probability density functionon the indicated interval.ƒ(x) = kx; [0, 3]Suppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What is the numerical value of C?The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2 for x in [0,∞). Find the probability that a randomly selected laptop battery will last between 2 and 5 years?
- Suppose that ƒ is a uniform joint probability density function on0 ≤ x 6 2, 0 ≤ y < 3. What is the formula for ƒ? What is theprobability that X < Y?Let Y1 = 0.5, Y2 = 0.25, Y3 = 0.75, Y4 = 0.25 and Y5 = 1.25 be a random sample of width 5 selected from the population with the following probability density function. Which of the following is the estimation value obtained by the moment method for the unknown q parameter of this population?