1.Suppose X is a continuous random variable with probability density function, f(x)=4x^3 for 0
a)find find E(X)
b)find the medium of X,the 50th percentile c)use the following four uniform (0,1) distrubuted random variables from table 7, .64,.30,.02,.87 to stimulate a random sample data set of n=4 values of X d) compute the sample mean and medium sample from the stimulated sample
2.Consider a 2014-T6 aluminum alloy the S-N behavior. A cylindrical rod of diameter 13.2 mm fabricated from this alloy is subjected to repeated tension-compression loading along its axis. Compute
(a) the maximum, and
(b) the minimum loads that will be applied to yield a fatigue life of 108 cycles. Assume that the data were taken for a mean stress of 27 MPa.