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AP Statistics Review Project
AP Statistics Review Project
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1
When subtracting random variables, you add their standard deviations when trying to find the S.D. of both (common error)
False
True
2
Select a correct formula related to binomial distributions (multiple may apply).
μx = μ of the population
σ_x= np(1-p)
σ_x = \sqrt{np\left(1-p\right)}
μx = E(x) = np
3
Which of the following is FALSE about a geometric distribution (common error)?
The shape of a geometric distribution is right-skewed.
Variability:σ_x= \frac{\sqrt{1-p}}{p}
Geometric distributions require "yes" and "no" outcomes.
Center: μ = 1/(np)
4
What does BINS confirm?
That a given probability distribution can be used for inference.
That a given probability distribution is binomial.
That a given probability distribution is geometric.
That a given probability distribution is normal.
5
Which of the following is INCORRECT with regard to adding a constant to each value in a probability distribution?
Adding a constant (c) skews the data depending on the size of the constant.
Adding a constant (c) makes the center shift by c.
Adding a constant (c) does not change the variability.
6
Which is NOT an appropriate use of a probability distribution?
In risk management to determine the maximum loss possible
To determine the possible performance of a stock
To make an inference about a population based on a sample
To quantify and describe discrete random variables.
7
What is different about the conditions for a geometric distribution from a binomial one? (common error)
There can be different probabilities for the outcomes of the variable.
There is not a fixed number of trials.
The events do not have to be independent.
There can be outcomes other than "yes" or "no".
8
Which of the following is the correct way to assess normality for a binomial or geometric distribution?
The only way to assess normality for a binomial distribution is by a graph.
Using CLT, in which the sample size must be greater than 30.
Using LCC, in which np and n(1-p) must both be greater than ten.
Using the 10% condition, where the sample size can't exceed 10% of the pop.
9
Which of the following gives the formula for the mean of a discrete random variable (DRV)?
μx = \sqrt{σ_x^2+σ_x^2}, because it is a measure of the variance of the DRV
One cannot find the mean of a DRV without knowing the true mean
μx = μ , because the mean of a DRV is the mean of the population
μx = Σ xi pi , because it is an average of the possible outcomes
10
Which is the correct formula for adding standard deviations of two random variables, X and Y?
\sqrt{σ_x^2+σ_x^2}
\sqrt{σ_x^2+σ_y^2}
σ_x^2+σ_x^2
σ_x^2+σ_y^2
11
Which of the following is TRUE with regard to multiplying by a constant to each value in a probability distribution?
Multiplying by a constant (c) changes the shape, making it normal.
Multiplying by a constant (c) changes the center to be multiplied by c.
Multiplying by a constant c does not change the center.
12
The following equation applies to which kind of distribution?
Geometric - its the P of getting the first success on the n-th trial
Normal - its the P of event X occurring in the n-th percentile of values
This equation is not relevant to probability distributions.
Binomial - its the P of event X happening in n trials
13
TRUE/FALSE: The following distribution is binomial.
True
False
14
Which of the following is a discrete variable?
x = the amount of money a person has in their wallet
μ = the average height of students at ERHS
x = the number of heads in 3 tosses of a coin
a distribution of IQ scores of AP Statistics students
15
Identify the type of random variable based on the graph.
Continuous - because there's an infinite # of values the variable can be
Discrete - because the variable is defined in the range (a, b).
16
Identify the type of random variable based on the graph.
Discrete - because outcomes can take on only "heads" or "tails."
Continuous - because outcomes can take on any value between 0 and 5.
17
When adding random variables, you add their means when trying to find the mean of both.
True
False
18
Select the correct distribution type that these equations apply to AND the correct interpretation of one of the formulas
Binomial - P(x) is the P of getting exactly x successes on the n-th trial
Binomial - nCx is the # of ways to arrange x successes among n trials
Geometric - P(x) is the P of getting exactly x successes on the n-th trial
Normal - nCx is the # of trials needed to create n successes from a value x
19
Which of the following best describes the shape of the probability distribution?
Roughly left-skewed, because the tail extends out to the left
Roughly right-skewed, because most of the data is on the right side
Roughly right-skewed, because the tail extends out to the right
Roughly left-skewed, because most of the data is on the left side
20
Why are binomial distributions important?
We can find the P of an event taking place in a set number of trials.
They are used in medicine to predict life expectancy.
All of the above!
They apply to the social sciences to predict election polling.
