AP Stats Mixed Review #2

In an AP Statistics class, 57% of students eat breakfast in the morning, 80% of them floss their teeth, and 46% of the students do both.  What is the probability that a randomly chosen student eats breakfast but does not floss their teeth?

• 9%
• 11%
• 34%
• 91%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

A fair coin has come up "heads" 10 times in a row.  The probability that the coin will come up heads on the next flip is:

• greater than 50%, it's due to happen.
• 50%
• less than 50%, since tails is happening so much.
• Can't be determined

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Pepsi is running a sales promotion in which 12% of all bottles have a "FREE" logo under the cap.  If you buy a 6-pack of bottles, what is the probability that you will find at least 1 "FREE" logo?

• .464
• .536
• .12
• 0

A company states that 2% of its computers are returned for defects.  We take a sample of 100 computers to find the probability of 10 being defective.  Is this a binomial distribution?

• No because there is not a fixed number of trials.
• No because their are more than 2 outcomes.
• Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.
• No since computers would not be independent.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Which represents the number of standard deviations from the mean for the 85th percentile?

• 2.58
• -2.58
• -1.04
• 1.04

Tags

CCSS.HSS.ID.A.4

What is the probability that a family doesn't have a baby girl until their third child?

• 0.13
• 0.15
• 0.05
• 0.88

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Which of the following is false about binomial probabilities?

• Their distributions are approximately symmetric.
• Trials must be fixed.
• Events musts be independent.
• The probability of success must be 0.50

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was x̄ = 810 grams. This sample mean is an unbiased estimator of the mean weight in the population of all ELBW babies, which means that

• In all possible samples of size 219 from the population, the mean of the values of will equal 810.

• In all possible samples of size 219 from this population, the mean of the values of will equal μ

• As we take larger and larger samples from this population, x̄ will get closer and closer to μ .

• In all possible samples of size 219 from the population, the values of will have a distribution that is close to Normal.

• The person measuring the children’s weights does so without any error.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

Why is it important to check the 10% condition before calculating probabilities involving x̄?

• To reduce the variability of the sampling distribution of x̄

• To ensure that the distribution of x̄ is approximately Normal

• To ensure that we can generalize the results to a larger population

• To ensure that x̄ will be an unbiased estimator of μ.

• To ensure that the observations in the sample are close to independent.

Tags

CCSS.HSS.CP.A.2