The continuous random variable has cumulative distribution function given by
Part(a)
Find the value of such that Give your answer as a decimal correct to 3 decimal places.
Part(b)
Find Var(), correct to 2 decimal places.
Part(c)
Find the value of correct to one decimal place given that .
Part(d)
Find the median of , correct to 2 decimal places.
Part(e)
Find , correct to 2 decimal places.
Part(f)
Two independent observations of are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than.
You can earn partial credit on this problem.