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24 Cards in this Set
- Front
- Back
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What does ∩ represent? |
The intersection of datasets (often referred to as "and") |
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What does U represent? |
The union of datasets (often referred to as "or") |
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What are the 3 conditions of probability mass functions? |
1. f(x)≥0 for all x 2. f(x)=P(X=x) 3. The sum of all f(x) is 1 |
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What is property 2 of a probability density function? |
The area under the graph over the given interval is 1 |
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What is the formula for calculating the area under the graph of f(x) over the interval [a,b]? |
b b ∫ f(x)dx=[F(x)] =F(b)-F(a) a a |
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How do you subtract one ln from another? |
Divide by the one being subtracted Ex.: ln a-ln b=(ln a)/(ln b) |
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What is the formula for standardizing a normal distribution? |
P(a)=P((a-μ)/σ) |
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What is the significance of an expected value (E(x))? |
The mean (μ) is defined as E(x) |
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How many letters are in the alphabet? |
26 |
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What is the difference between permutation (P(n,r)) and combination (C(n,r))? |
Permutation is used when the order of r selections matters, order is irrelevant when using combination |
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What is the formula for finding the distinct number of permutations of a given dataset? |
n!/(n_1!*n_2!*...) |
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What is the formula for finding the total number of subsets of a given dataset? |
2^n |
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What is P(A|B)? |
P(A∩B)/P(B) |
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How are events determined to be independent? |
P(A∩B)=P(A)*P(B) or P(A|B)=P(A) and P(B|A)=P(B) |
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What is P(A|B')? |
(P(A)-P(A∩B))/P(B') |
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What is the formula for finding the mean (μ) of a probability mass function? |
(x_1*p(x_1))+(x_2*p(x_2))+... |
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What is P(AUB)? |
P(A)+P(B)-P(A∩B) |
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What is the keyword for bayes theorem (easiest applied to a tree diagram)? |
Partition(ed) |
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How do you solve problems of normal distribution with your calculator? |
1. Press 2nd 2. Press vars 3. Select normal cdf & enter info |
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What are the 2 things to remember when utilizing the normalcdf function? |
1. Don't standardize your data, enter original numbers 2. Round down your answer |
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How would you calculate the amount of total outcomes? |
Multiply each individual count of outcomes (Ex.: rolling 2 dice, 6*6=36) |
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What's something to remember when solving problems of normal distribution? |
Adding or subtracting answers from 0.5, when applicable |
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What is 1/x dx (antiderivative of 1/x)? |
ln x |
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What is e^-x dx (antiderivative of e^-x)? |
-e^-x |
