Question

Find the expected value, the variance, and the standard deviation, when they exist, for the probability density function. if O sxs 2 f(x) = 128 5, ify if x>2 375 What is the expected value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The expected value is u (Round to two decimal places as needed.) OB. The expected value does not exist. What is the variance? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The variance is Var(X) – . (Round to two decimal places as needed.) OB. The variance does not exist. What is the standard deviation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The standard deviation is oa . (Round to two decimal places as needed.) OB. The standard deviation does not exist.

Answer 1

OLXS 2 12 128 3x5 The Rxpected vaue NEECX)= 128 12 441 128 2 3 - 3 32 2 128 /2 X5 3 38 3 2५. +े 8० 45 104 45 2- 31

Varciance is the axpeetation f-ta 2quar deriation f a random varciab la fromrts mea V (x)= Now 23 128 32S d 12 8 -7 3 2 128 2 4 12 X6 2 (128 6.222 -1 v Cx) 2-31 6 222 11 0.89 Norw the standard deviation No.884 =6.94