1. According to a Pew Research Center poll, 40% of American college graduates have outstanding student loans. Suppose that this is true for the current population of American college graduates.

a. Find the probability that exactly 4 American college students in a sample of 12 have outstanding student loans.

b. Find the probability that at least one college student in a random sample of 12 have outstanding student loans.

c. What is the mean and standard deviation of a sample size of 12 from this population.

2. An average of .8 accidents occurs per day in a particular day in a particular large city.

a. Find the probability that 2 accidents occur in this city on a given day.

b. Find the probability that 10 accidents occur in this city in a given week.

c. What is the mean and standard deviation of this distribution in part a.

## Comments

at leastone student has loans" is "no student has loans", so P(X=0)+P(X≥1)=1.