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 ?
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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 ?
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- In a certain experiment, the error made in determining the density of a substance is evenly distributed between -0.0015 and 0.0015. Find the probability that such an error will exceed 0.0005 in absolute value. 11.The random variable Y is defined by Y = - (X + \X1), where X is another RV. %3D Determine the density and distribution function of Y in terms of those of X. 44Data are obtained on the location of incidents on a 12-kilometer-long bridge. The distribution of the distance along the bridge (in kilometers) where an incident occurs is depicted in the density curve below. 12 Distance (kilometers) along the bridge where an accident occurs 12 1. The probability of an incident that occurs in any 4 kilometers long bridge segment is always distributed over any 4-kilometer interval. A. 1/3, uniformly B. 1/3, not uniformly C. 1/6, uniformly D. 1/2, not uniformly To put it another way, the probability is 2. What is P(9 < X < 12)? 1 Same as P(2 < X < 5). 2. Same as P(2 s X < 5). 3. Same as P(2 < X < 5). 4. Same as P(2 < X < 5). A. 1 B. 1 and 2 C. 2, 3, and 4 D. 1. 2. 3, and 4
- The label on a bottle of salad dressing shows the contents to be 16 ounces per bottle. The production operation fills the bottles uniformly according to the following probability density function: (5, for 15.856.106 If Y is a continuous random variable with distribution function F(y), find the probability density function of U = F(Y).The lifetime, X, of a CPU in the Edsel computer, measured in months, has the following probability density function: f(x)= 338 x3 for x ≥ 13 and 0 otherwise. j) What is the 50th percentile of X? k) What is the probability that X is within 1 of its expected value? l) What is the probability that X = 15?A scout on a camping trip is requested to find some dry sticks of length at most one metre to use as firewood. A model for the distribution of the lengths, X, in metres, of sticks that she brings back to the camp has probability density function f(x) = VT, 0< x < 1. 0 < x < 1. According to the model, what is the mean length of the sticks that the scout brings back?According to a study, the maximum temperature T (in degrees Celsius) of each day during the spring has a distribution with the following function density: 21For a random variable which can be defined using the probability density function below, what is the probability that X is between 1.3 and 3.1? с (1 + х) ,1 <The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 20 and 25 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? 1/30- O'10 20 3oX Time (min) (a) The probability that the friend is between 20 and 25 minutes late is. (Type an integer or a decimal. Round to three decimal places as needed.) (b) There is a 20% probability the friend will arrive within O minutes. (Type a whole number.)1. Each rear tire on an experimental airplane is supposed to be lled to a pressure of 40 pounds per square inch (psi). Let Y1 denote the actual air pressure for the right tire and Y2 denote the actual air pressure for the left tire. Suppose that Y1 and Y2 are random variables with the joint density function attached as a photo. a) Find k. b) Find the joint distribution function for Y1 and Y2. c) Find the probability that both tires are under filled.Given the function y = x2 considered as a probability density distribution defined at 0 ⩽ x ⩽ 3. Between which percentiles will the central 30% of the observations be found from the Integral Function?SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON