AP Statistics Binomial and Geometric Probability

Binomial and geometric probability situation share all of the following conditions except one. Identify the choice that is not shared.

• The probability of success on each trial is the same.
• There are only two outcomes.
• The focus of the problem is the number of successes in a given number of trials.
• The probability of a success equals 1 minus the probability of a failure.

Which of the following random variables should be considered continuous?

• The number of brothers a randomly chosen person has
• The number of orders received by a mail order company in a randomly chosen week
• The number of cars owned by a randomly chosen adult male
• The time it takes a randomly chosen woman to run 100 meters

Caren is playing an instant lottery game.  What is the probability that she will not win until the 8^th try if the probability of winning is one out of 100 on a single try?

• 0.0009
• 0.0093
• 0.0933
• 0.9321

A college basketball player makes 80% of her free throws. Suppose this probability is the same for each free throw she attempts, and free throw attempts are independent. The expected number of free throws required until she makes her first free throw this season is

• 2
• 1.25
• 0.8
• 0.31

A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from those produced by this machine, what is the approximate probability that exactly 2 caps have been improperly applied?

• 0.0002
• 0.19
• .74
• .081

A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from those produced by this machine, what is the approximate probability that between 2 and 6 (inclusive) caps have been improperly applied?

• 0.19
• 0.26
• 0.38
• 0.74