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- S2) The probability density function fX (x) of the random variable X fX(x) =( 4x3 0 < x ≤ 1 ( 0 otherwise given in the form. P(X ≤2/3|X > 1/3) Find the probability of the event. S3) Using the information given in S2 A = {X > 1/8} conditional probability density function under the condition Find. Find the domain of the function. Describe in detail how you found it. Of x conditionally expected Find the value.Data are distributed according to a probability density function f(x) = x. What is the probability density with random variable value x₁ = 1.3147? What is the probability density with given random variable value? f(x₁) = | 1 Do not leave any fields blank. If you don't know the answer, insert 1 for example. Insert only 3 most significant digits of your answer without rounding. Constant Value Unit 1 1.7320 I min Imax Quantity random variable Symbol x random variable value smallest data value highest data value Imax probability density function f(x) probability density with given random variable value f(x₁) x1 I min Unit Input instruction X x_1 x_min x_max f fx1do al otherwise not
- Determine whether the following function is a probability density function. f(x) = x, 0sxs8 32 Is the function f(x) a probability density function? No Yessolve Last 2 questions pleaseSuppose that the random variable X has the probability density function for -1 < x s 1 c(1- x2) f(x) = elsewhere Find the value of the constant c. Ans is Blank 1 Blank 1 Add your answer
- fx(x) is a probability density function such that fx(x) = {a(2 - x) 0 k), please find k. %3D O a. 1+(2/V2) O b. 2+(1//2) O c. 1+(1//2) O d. 2+(3/v2) O e. 2+(2/v2)a and b please1 Given the probability density function f(x) = over the interval [3,6], find the expected value, the mean, 3 the variance and the standard deviation. Expected value: Mean: Variance: Standard Deviation: > Next Question
- The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X (x-8). f(x)2-(X-8). 9sx< 10, 8umple 27: If a random variable has the probability density function k(x? – 1),-1Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON