I feel like the horse:
I'm having some trouble with a seemingly easy problem, Example 9, Module 3, Page 23, ASM. I've tried this problem every which way possible but cannot get the answer.
A Town sells lottery tickets; winning ticket pays $1 with probability .7, $5 with probability .2, $10 with probabiliy .1, and the number of winning tickets has a Poisson distribution with a rate 50 per month. Using normal approximation, find the 95th percentile of the total payout in a year.
The answer is given as $1,779.66
HELP!