alue of A can be calculated based on f(x)dx = 1.
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A: The logarithmic expression
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A: Recall: uv'=vu'-uv'v2
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- If the probability density of X is given by f(x) =2x−3 for x > 10 elsewherecheck whether its mean and its variance exist.QUESTION 2 Delta Airlines quotes a flight time of 4 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 12 minutes. (a) Show the graph of the probability density function for flight time. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/12 unit long vertical line segment begins at 240 on the horizontal axis. A 1/12 unit long vertical line segment begins at 252 on the horizontal axis. A 12 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded…The probability density function of X, the lifetime of a certain device in months, is given by f(x)=6/(x^2) if x > 6 and f(x) = 0 if x < 6. Find P(X > 50). Also, what is the cumulative distribution function of X on x > 6?
- 2.1) Suppose a random variable X has a probability density function in the attached image. a) Find the value of k that makes this a probability density function. b) Find the expected value of X.Question 17 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:_______________________If X ~ U(3, 15), what is the probability density function for this distribution?
- suppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then P(X>1)Problem 45 Please Answer quickly.. In your pocket you have three dimes (coins of 10 cents) and two quarters (coins of 25 cents). You grab at random two coins from your pocket. What is the probability mass function of the amount you grabbed?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 29 Suppose that 70% of people prefer beef over lamb. We randomly sampled 1000 people. What is the probability that the sample will have no more than 710 people who prefer beef over lamb? Please use the normal approximation to the probability distribution, and you don't need to use continuity correction here.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?What is the variance of a continuous probability distribution function with the probability density function f(x) = 4(x-1)^2 for 0 < x < 2?