Hi There,

I'm having troubles with this past paper question. I've touched on ont. Uniform stuff but this is really causing me trouble. Is the first question 0 and 1?

Uis a continuous uniform random variable on the range (0, 1). A continuous random variableXis defined byX= 29(1 −U)−1/5.

- Write down the largest and smallest values
Xcan take.- Use the transformation of random variables technique to calculate the distribution function
FX(x) ofX.- Calculate the density function of
Xand the expectation and variance ofX.- Suppose that
X1,X2, ...,X10 are 10 independent copies ofX. Use a suitable approximation to calculate the probability that the sample mean of these values is at least as large as 29.- Comment on the accuracy of the approximation.