3. Normal Distribution 95%CL - Continuous Random Variable Consider the function f(x)=kx; 2
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![3. Normal Distribution 95%CL - Continuous Random Variable
Consider the function f(x)=kx; 2≤x≤4
a. Find the value of k that makes this a density for a continuous random variable.
b. Find P[2.5<x<3].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F782d1ce2-9136-47c7-a5e5-09e5016692e9%2F4190d799-1dbc-4588-81d5-243289ddccdb%2Flm2vwgq_processed.jpeg&w=3840&q=75)
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- 7let x continuous random Variable ea Probabil;ty density function fx (X), The firobability distribution of a random Variable Y= ax+b (azo, b fixed)is: it has is 2. 3-#Continuous 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 1The continuous random variable, X, has the probablity density function given below. n* f(x) = for 0 < x < 10 20 elsewhere P(x < 0.5) =|Probability and statisticsContinuous random variables 5. 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. Calculate c. express your answer in fraction c(x - 1)(4x) f(x) = _{[C(x − 1) for 1Recommended 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