Question: (15 points) Breakfast sales at a small restaurant average $100 per day with a standard deviation of $15. A detailed look at the accounts shows that breakfast sales are between $85 and $115 for just over 68% of the days; more than 95% of days the sales are between $70 and $130; and very rarely do breakfast sales exceed $145 or fall below $55. The accounts show that days with sales lower than $100 are just as common as days with sales greater than $100.
What is the probability that breakfast sales will fall between $75 and $130 on any given day?

a) (1 pt) Define the random variable for this problem.
b) (6 pts) Explain exactly how the random variable defines above is distributed
c) (2 pts) Write out the probability question for this problem.
d) (6 pts) What is the probability that breakfast sales will fall between $75 and $130 on any given day?