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Related Flashcards
Cards In This Set
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Relative Frequency Concept of Probability?
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The probability that A occurs is the limit of the ratio a/n as the number of experiments becomes infinitely large (n)
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Conditional probability formula for P(A/B)? aka what?
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P (A^B)/P(B), bayes theorem
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Formula for independence? in regards to P(A^B)
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P(A^B) = P(A) * P(B)
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Bayes theorem?
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P(A/B) = P(A^B)/ P(B)
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Law of Total Probability?
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Let E1, ..., Ek be mutually exclusive and collectively exhaustive events. Then P(A) = sum of P(A/Ei)*P(Ei)
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Collectively exhaustive events?
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At least one of the events must occurs
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Mutually exclusive events?
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Can't occur at the same time
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Cdf for discrete variables looks like what?
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Stairs without vertical parts, ***contain the start to the upper steps***
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Cdf is just the area under the what curve?
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Pdf curve
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Properties of the pdf for a continuous function?
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1. f(x) > 0 for all x
2.
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What is the pdf formula for the uniform distribution?
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1/(b-a)
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What is the cdf formula for the uniform distribution?
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(x-a)/b-a
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Pdf of rolling two dice?
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2. (1/36)
3. (2/36)
4. (3/36)
5. (4/36)
6. (5/36)
7. (6/36)
8. (5/36)
9. (4/36)
10.(3/36)
11.(2/36)
12.(1/36)
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Expectation of uniform?
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(a-b)/2
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How do you find E[x^2]?
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Sum(g(x) * P(x))
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