If X is a random variable with the probability density function: f (x) = c|x|, for - 1 < x < 1 and 0 otherwise. What is the value of c? Please round your result to one decimal place. Correct Answer:_______________________
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Question 17
If X is a random variable with the probability density
Please round your result to one decimal place.
Correct Answer:_______________________
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- QUESTION 11 The probability density function, f(x), for any continuous random variable X, represents: a. all possible values that X will assume within some interval a ≤ x ≤ b. b. the probability that X takes on a specific value x. c. the height of the density function at x. d. None of these choices.QUESTION 10 Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2. What are the values for a and b? a. 2 and 6 b. Cannot answer with the information given. c. 0 and 4 d. Can be any range of x values whose length (b − a) equals 4. QUESTION 11 The probability density function, f(x), for any continuous random variable X, represents: a. all possible values that X will assume within some interval a ≤ x ≤ b. b. the probability that X takes on a specific value x. c. the height of the density function at x. d. None of these choices. QUESTION 12 Which of the following is true about f(x) when X has a uniform distribution over the interval [a, b]? a. The values of f(x) are different for various values of the random variable X. b. f(x) equals one for each possible value of X. c. f(x) equals one divided by the length of the interval from a to b.…Question 1.2 Consider the function f (x) = (1/24(x^2 +1) 1 < or = x < or = 4) = (0 otherwise) Calculate P (x = 3) Calculate P (2 < or = x < or = 3) Question 1.3 Consider the function f (x) = (k - x/4 1 < or = x < or = 3) = (0 otherwise) which is being used as a probability density function for a continuous random variable x? a. Find the value of K b. Find P (x < or = 2.5)
- Can I have a detailed, step-by-step explanation for the following question? Thank you! Let X be a random variable whose probability density function is given by,f_X(x) =[ (e^(-2x)) + ( (1/2)*(e^(-x)) ) ] if x > 0 and 0 if otherwise Find the moment generating function for X.Suppose X and Y have joint probability density function ?(x, y) = { 6x, 0 < x < 1, 0 < y < 1 − x 0, elsewhere. a. Determine whether the two random variables are dependent or independent. b. If the value of Y is 0.5, what is the probability that X will have a value greater than 0.3? Please answer this question step by step and justify your solutionQuestion 10 The joint probability density function of X and Y is given by
- Rework problem 1 in section 4.2 of your text, involving the flipping of a loaded coin, but assume that Pr[H]=0.2. Also, assume that the coin is flipped 4 times, and the random variable X is defined to be 3 times the number of heads minus 2 times the number of tails. How many different values are possible for the random variable X? Answer:5 Fill in the table below to complete the probability density function. Be certain to list the values of XX in ascending order. Value of X Probability -8 -3 2 7 12 **Just need the Probability portion of the graph answered, all other answers provided are correctQUESTION 14 The function that defines the probability distribution of a continuous random variable is a a. uniform function. b. probability density function. c. normal function. d. either normal of uniform depending on the situation.QUESTION 1 The random variable x is known to be uniformly distributed between 0.5 and 1.0. (a) Show the graph of the probability density function. The graph has a shaded area. The horizontal axis is labeled: x, and has tickmarks labeled: 0.5, 1, 1.5, 2, 2.5. The vertical axis is labeled: f(x), and has tickmarks labeled: 1, 2, 3. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1 unit long vertical line segment begins at 0.5 on the horizontal axis. A 1 unit long vertical line segment begins at 1 on the horizontal axis. A 0.5 unit long horizontal line segment begins above the horizontal axis tickmark labeled 0.5 and to the right of the tickmark labeled 1 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x and has tickmarks: 0.5, 1, 1.5, 2, 2.5. The vertical axis is labeled: f(x), and has tickmarks: 1, 2, 3. The shaded area is the…
- ontinuous random variable with a density function Then ks equal to: 1/4 2/3 e 4/13Suppose ? and ? have joint probability density function ?(?, ?) = { ?(?^2 + ???), 0 ≤ x ≤ 1, −1 ≤ ? ≤ 1, 1 ≤ ? ≤ 2 0, elsewhere. a. Find ?. b. Find ?(0.5 < ?, 0 < ? ≤ 1, ? < 1.5. Please answer this question step by step and justify your solutions