Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
23 Cards in this Set
- Front
- Back
|
What are the three types of probability? |
Subjective (personal; opinions) Empirical (based off of formulas) Experimental (results of a random experiment) |
|
|
True or False? If you generate 10 random digits, each integer between 0-9 must occur exactly once. |
False. In the short run, probabilities can fluctuate a lot. |
|
|
If P(A) and P(B) are INDEPENDENT, what is the probability of P(A and B)? |
P(A and B) = P(A) x P(B) |
|
|
If P(A) and P(B) are DEPENDENT, what is the probability of P(A and B)? |
P(A and B) = P(A I B) x P(B) = P(B I A) x P(A) |
|
|
How would you verify that the given probabilities provide a legitimate distribution? |
All of the values are between 0 and 1, and that they all add up to exactly 1. |
|
|
How is the mean of a discrete probability distribution found? |
u=SUM(x1) x P(x1) + . . . . |
|
|
A normal distribution is often used for continuous or discrete random variables? |
Continuous |
|
|
Which two parameters define the normal distribution? |
Mean (u, mu) and Standard Deviation (o, sigma) |
|
|
What is the interpretation of the z-score? |
how many std. dev. an observation falls from the mean |
|
|
What kind of distribution is used for discrete variables? |
Binomial distribution |
|
|
What are the conditions required for a Binomial Distribution? (4) |
-A fixed number of trials, n -Each trial has two possible outcomes -The probability of success, p, is the same for each trial -The trials are independent |
|
|
A p of 0.5 in a binomial distribution will result in what shape of the graph? |
Symmetric |
|
|
A p<0.5 will skew the binomial distribution which way? |
Right; thus, a p>0.5 will skew left |
|
|
How do you find the mean of a binomial distribution? Standard Deviation? |
Mean = np Std. Dev. = sqrt[np(1-p)] |
|
|
There are three types of distributions, name them. |
Population Sample Sampling |
|
|
Describe a population distribution? |
Almost never observed. We learn about this from sample distributions. |
|
|
Describe a Sample Distribution (aka Data Distribution) |
Consists of the sample data that you actually observe and analyze. Should resemble the population distribution |
|
|
Describe the Sampling distribution. |
Describes the long-run behavior of the statistic. Specifies probabilities for all possible values of the statistic for a sample of a given size. |
|
|
How can you tell if the sampling distribution of the sample proportion will be approx normal? |
If np>15 AND n(1-p)>15 |
|
|
What are the Central Limit Theorem Assumptions? (4) |
Randomization Condition - data are randomly obtained Independence - samples values must be indep. 10% Condition - The sample size is no more than 10% of the population. Sample Size Assump - Large enough to expect at least 15 successes and 15 failures |
|
|
The population mean of a sampling distribution is denoted as ? And is found how? |
u(mu); with std. dev. of o(sigma) X (x-bar) mean of observations in SRS of size, n, from a population with a mean of mu *basically the means are the same |
|
|
How do you find the standard deviation of the sampling distribution? |
sigma(x) = sigma(pop)/sqrt(n) |
|
|
What kind of distribution is used for the CLT? |
Normal Distribution |
