Question

4. 3/6 points Previous Answers ASWSBE13 6.2.004. My Notes Ask Your Teacher Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote a random number generated using RAND, then x is a continuous random variable with the following probability density function. ROX) i for 0 SX S1 10 elsewhere (a) Graph the probability density function.

Answer 1

solution :

The answer in (a), (b) and (c) are correct remaining part is given as,

Given information: f(x)=1,0 sxs1 d. The value of c is calculated by use total probability, P(X>0.6)-x 0.6 -[ 1-6 =0.4 Therefore, the required value in part(d) is 0.4.

(e) and (f)

Rand() Rand() 0.320847 0.051634 0.315484 0.293551 0.191125 0.1366 0.085607 0.253249 0.997116 0.169377 Mean and standard deviation of the 50 random number given as, 0.635096 0.451863 0.934304 0.351181 Mean 0.447068 0.316174 0.725292 Variance 0.083426 0.319172 0.015684 Standard deviaitno 0.288836 0.687082 0.306944 0.081651 0.493128 0.299825 0.20576 0.592983 0.382624 0.63342 0.612594 0.310864 0.120333 0.622126 0.723395 0.861879 0.148695 0.355116 0.82453 0.026294 0.435672 0.15494 0.991909 0.302981 0.607192| 0.85193 0.313122| 0.393671 0.506012| 0.866469 0.170629 Activate 0.91604 0.990258