Download NAME_________________________ AP/ACC Statistics DATE

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DATE: ______________________
AP/ACC Statistics
Unit 4 – Review Worksheet
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his
head in a given night. In the bedroom next door, five kangaroos were jumping on a bed. Being more
adept at jumping, there is only a 20% chance that a kangaroo will fall off the bed in a given night.
1. Interpret the “35%” in context.
2. What are the chances that a monkey and a kangaroo will fall off the bed?
3. What are the chances that a monkey will not fall off the bed?
4. If the monkeys enjoy this activity every night for an entire week, what are the chances that a
monkey falls off the bed every one of the seven nights?
5. What are the chances that if the monkeys jump every day for a week that at least one will fall off
of the bed?
6. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight
nights until they finally have someone fall off the bed on the 5th night?
7. What are the chances that the kangaroos can jump two nights in a row with no one falling off the
bed?
8. The monkeys manage to go a whole week without someone bumping their head. One of the
kangaroos insists that they are due for an injury. Another says they must be getting better at their
jumping skills. Do you think they're due for a crash?
9. What is P(exactly 3 nights in one full week result in a kangaroo falling)?
10. What is P(it takes 4 nights for the first monkey to fall off)?
11. What is P(at least 5 nights in one week result in a monkey falling)?
In addition to ones like those above, you will also need to be able to calculate probabilities such as:
 From a table, like problem 9 on page 362
 In the antibody problem, picking one of the four methods to solve a problem
You should be able to:
 Answer questions about independence
o Like problem 28 on p. 363 or problem 31 on page 364
 Determine whether a Bernoulli trial situation is geometric or binomial (see worksheet)
 Find the mean and standard deviation of a geometric or binomial model
 Find the mean, variance, and standard deviation of a linear combination of random variables
(adding, subtracting, or multiplying by a constant)
o Like problems 25 and 37 on pages 384-385
 Calculate the expected value of a probability model, like the example on page 367, and the
standard deviation, like the example on page 369
 Understand, apply, and interpret the Law of Large Numbers