2. Bernoulli Can we use probability models based on
Bernoull trials to investigate the following situations?
Explain.
a) You are rolling 5 dice and need to get at least two 6's
to win the game.
b) We record the eye colors found in a group of 500
people.
c) A manufacturer recalls a doll because about 3% have
buttons that are not properly attached. Customers re-
turn 37 of these dolls to the local toy store. Is the
manufacturer likely to find any dangerous buttons?
d) A city council of 11 Republicans and 8 Democrats
picks a committee of 4 at random. What's the proba-
bility they choose all Democrats?
e) A 2002 Rutgers University study found that 74% of
high-school students have cheated on a test at least
once. Your local high-school principal conducts a
survey in homerooms and gets responses that admit
to cheating from 322 of the 481 students.