Probability Distributions (AQA A-Level Mathematics): Flashcards

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Discrete Probability Distributions
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Discrete random variable

Variable taking discrete (not continuous) values by chance

x vs X notation

Lowercase x = particular outcome; Uppercase X = the variable

Sum of all probabilities

1

How to find constant k

Sum all probabilities = 1, solve for k

Calculating P(X>3)P(X > 3)

Sum probabilities for X=4, 5, 6, ...

P(4leqX<6)P(4 leq X < 6) includes which values?

X=4 and X=5 only

Prob. of independent events X1X_1 and X2X_2

P(X1)imesP(X2)P(X_1) imes P(X_2)

Formula for P(X1=X2)P(X_1 = X_2)

Sum of [P(X=r)]2[P(X=r)]^2 for all r

Finding P(X1+X2=5)P(X_1 + X_2 = 5)

List combos summing to 5, multiply probs, add

Distribution of XX

List of probabilities & outcomes

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