The probability density function for a continuous random variable X is given by 0 < x < 1 1≤ x ≤2 else Find P(0.5 < X < 1.5) Round to 4 decimal places if needed. f(x) = X 2-x 0
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- please send correct answer Q4Let f(x) = x for 0 < x < 1. Is f(x) a legitimate probability distribution function (pdf) for a continuous random variable? No, the area under f(x) is not 1 (it is greater than 1). Yes, all criteria for a pdf are satisfied. No, the area under f(x) is not 1 (it it less than 1). No, f(x) is not non-negative.The hypotenuse, Y, of the isosceles right triangle shown 0 is a random variable having a uniform pdf over the interval [5, 10]. Calculate the expected value of the triangle's area. Do not leave the answer as a function of a. (round to 3 decimal places)
- Determine the probabilityof x is any value from 3/2 to 2? The cumulative distribution function for F(1.5)?The error involved in making a certain measurement is a continuous random variable X with cumulative distribution function 0, for x 2. Calculate the probability that the error in measurement has an absolute value of less than one.The probability density function for the continuous random variable X is given by: (А(х? — 2х + 21) 0Continuous random variables 6. A charity group raises funds by collecting waste paper. A skip-full will contain an amount, X of other materials such as plastic bags and rubber bands. X may be regarded as a random varibales with probability density funnction. All nmerical values are in units of 100kg. Find the Expected value and Standard deviation.Express your answer in 3 decimal place value f(x)= - c(x-1)(4-x) 0 for 1Q6. A continuous random variable has probability density function = { / (2x - 3) ,15x52 0 , otherwise f(x) = The find the value of P(1.5 ≤ x ≤ 4)I need answer within 20 minutes please please with my best wishesRecommended 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