Are the following random variables binomial? If it is, state the
possible values of the random variable. If not, state why. (Hint:
Check the five characteristics of a binomial experiment that we
discussed in class.)
(a) Bob is teaching his daughter Tina to drive. They have one
driving lesson a day for one week. X = the number of days that Tina
successfully goes without hitting another car.
(b) Joey and Chandler are playing a board game that involves
rolling a pair of dice. The first person to roll doubles in this
game gets ten extra points, and Joey is intent on winning. Let Y =
the number of rolls until he gets doubles.
(c) El Taco Loco, a local Mexican restaurant, has a challenge on
their menu: If you can eat ten tacos within a 2-hour period, your
meal is free. Only 3% of people typically complete the challenge.
One weekend, the restaurant staff watch 100 customers attempt to
eat this massive meal. Let N = the number of customers who complete
the challenge.
(d) Dwight tries to impress Angela with a card trick that
involves randomly drawing 7 cards from a standard 52-card deck
without replacement. (Angela is unimpressed by this.) Let Z = the
number of hearts she draws