Fast-food profits.Mac's fast food restaurant finds that its daily profits have a normal distribution with mean $140. and standard deviation $80.

a. Find the probability that the restaurant loses money on s given day (that is, a daily profit less than 0).

b. Find the probability that the restaurant makes money for the next seven days in a row.What assumptiosn must you make for this calculation to be valid? (Hint: Use the binomial distribution.)

What I have so far:

a. profits below or equal to 0 are -1.75, which equals 0.04006 or 4.01% chance of making a profit less than 0.

b. binomial distribution formula :: P(x) = (n! / ((n - x)! x!))) * p^x * q^n-x; n = 7, x = 7, p = 0.95994,q = 0.04006; (7! / (0!7!)) * 0.95994^7 * 0.04006^0 = 0.75 which means there is a 75% chance of making a profit for the next 7 days.