Let Y1, Y2,..., Y5 be a random sample of size 5 from a normal population with mean 0 and variance 1 and let Y = (1/5) 5 i=1 Yi . Let Y6 be another independent observation from the same population. What is the distribution of a W = 5 i=1 Y 2 i ? Why? b U = 5 i=1 (Yi − Y )2? Why? c 5 i=1 (Yi − Y )2 + Y 2 6 ? Why?

Autility company burns coal to generate electricity. the cost c(p), (in dollars) of removing p percent of the some stack pollutants is given by c(p)= 85000p/100-p a) find the cost to remove 30% of the pollutant b) find where the function is undefined

One expression below in undefined, and the other expression has a well defined value. which expression is undefined and explain why it has no value. which expression is defined? what is the value of that expression and how do you know? what is a different expression using a trig inverse function that is also undefined?

Answer this question only if you know the 30 points and