AP Stats Probability Distributions

Given the probabilities P(A)=0.4 and P(A∪B)=0.6, what is the probability P(B) if A and B are mutually exclusive? 

• 0.4
• 0.2
• 0.33
• 0.6

Suppose that 85% of students who take the AP Statistics exam pass. Suppose further that 65% of those that pass receive college credit, and 4% of those that don't pass receive college credit. If a student who is chosen at random from among those taking the exam receives college credit, what is the probability that she passed the exam?

• 0.5525
• 0.9893
• 0.5585
• 0.006

Suppose that 85% of students who take the AP Statistics exam pass. Suppose further that 65% of those that pass receive college credit, and 4% of those that don't pass receive college credit. What is the probability that a randomly selected student did not get college credit for their exam score?

• 0.2975
• 0.4415
• 0.5585
• 0.69

A computer technician notes that 40% of computers fail because of the hard drive, 25% because of the monitor, 20% because of a disk drive, and 15% because of the microprocessor. What is the probability the computer fails because of the hard drive or the microprocessor?

• 0.0375
• 0.4
• 0.06
• 0.55

A computer technician notes that 40% of computers fail because of the hard drive, 25% because of the monitor, 20% because of a disk drive, and 15% because of the microprocessor. What is the probability that four computers in a row fail because of the disk drive?

• 0.2
• 0.8
• 0.008
• 0.0016

P(Sandals):

• 4/36
• 16/36
• 20/36
• 16/20

P(Sandals|Pants):

• 4/20
• 14/36
• 20/36
• 4/14

P(Shorts or Shoes):

• 0.8889
• 1.0556
• 0.1667
• 0.6111

The law of large numbers states that when an experiment is performed a large number of times, the relative frequency of an event tends to be closer to the probability of the events.

• True
• False

Two events are mutually exclusive if they cannot occur simultaneously

• True
• False