You really struggle remembering to bring your lunch to work. Each day seems to be independent as to whether you remember to bring your lunch or not. The chance that you forget your lunch each day is 36.7%.

Consider the next 48 days. Let $\displaystyle {X}$ be the number of days that you forget your lunch out of the 48 days. Calculate the following:
(a)


$\displaystyle \mu_{{X}}$:

$\displaystyle \sigma_{{X}}$:



(b) What would be the first number of days, larger than the mean, that would be considered unusual (an "outlier")? (Enter a whole number.)

(c) Find the probability of forgetting your lunch at least as many times as your answer to part (b).