Find a probability density function f(x) for the distribution whose CDF is below. Make sure to be explicit about the values of x for which your function is defined! F(x) 3x3 1 x<0 2x 0 < x <1 x > 1
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- Delta Airlines quotes a flight time of 2 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 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: 114, 120, 126, 132. 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 120 on the horizontal axis. A 1/12 unit long vertical line segment begins at 126 on the horizontal axis. A 6 unit long horizontal line segment begins at the tickmark labeled 120 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 area. The…please quickly thanks !Tossa coin once, S = (H,T) with P,(H) = p and P,(T) = q. Define X(-) by X(H) = ₁ X(T) = 0. Compute and plot the probability distribution function F, (x).
- You roll a fair six sided die repeatedly until the sum of all numbers rolled is greater than 6. Let X be the number of times you roll the die. Let F be the cumulative distribution function for X. Compute F(1), F(2), and F(7).Just a,b,cDelta Airlines quotes a flight time of 4 hours, 5 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 20 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: 230, 240, 250, 260. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/20, 1/10, 3/20. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/20 unit long vertical line segment begins at 230 on the horizontal axis. A 1/20 unit long vertical line segment begins at 250 on the horizontal axis. A 20 unit long horizontal line segment begins at the tickmark labeled 230 on the horizontal axis and the tickmark labeled 1/20 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The…
- Prob-2 The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500 metal cylinders delivered to engine assembely plant... How many cylinders' diameters, D< 50.0 mm ? Sol:f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0The probability function for the number of insurance policies John will sell to a customer is given by f(x) = 0.5 for X = 6. 0, 1, or 2. (a) Is this a valid probability function? Explain your answer. Yes, f(x) 2 0 and Ef(x) + 1 Yes, f(x) > 0 and Ef(x) = 1 No, f(x) > 0 and Ef(x) # 1 No, f(x) > 0 and Ef(x) = 1 (b) What is the probability that John will sell exactly 2 policies to a customer? (Round your answer to three decimal places.) (c) What is the probability that John will sell at least 2 policies to a customer? (Round your answer to three decimal places.) (d) What is the expected number of policies John will sell? (Round your answer to three decimal places.) (e) What is the variance of the number of policies John will sell? (Round your answer to three decimal places.)Suppose X = time to wait for a cab and you know you're going to wait at least 6 minutes, but no more than 10 minutes. Suppose X has a uniform distribution. What is f(x)? f(x) = 1/6 f(x) = 0 f(x) = 1/10 O f(x) = 1/4The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with probability density function defined by f(x): - 9.5 x 45 Find the following probabilities for the annual rainfall in a randomly selected year. Round your answers to 4 decimal places as needed. What is the probability that the annual rainfall is greater than 3 inches per year? What is the probability that the annual rainfall is less than 2 inches per year? What is the probability that the annual rainfall is between 2 and 4 inches per year?Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between0 and 1. If we let x denote a random number generated using RAND, then x is a continuousrandom variable with the following probability density function.f(x) 5 510for 0 # x # 1elsewherea. Graph the probability density function.SEE MORE QUESTIONS
