Probability Distributions (Edexcel A-Level Mathematics): Flashcards

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Discrete Probability Distributions
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What is a discrete random variable?

It can take specific, distinct values at random.

Give an example of a discrete random variable.

The outcomes of rolling a fair die.

What does the distribution of XX list?

Probabilities associated with each outcome.

How is P(X=x)P(X = x) calculated for a die?

P(X=x)=1/6P(X = x) = 1/6 for x=1,2,3,4,5,6x = 1, 2, 3, 4, 5, 6.

What condition must probabilities in a distribution meet?

All probabilities must sum to 11.

How do you calculate kk in a probability distribution?

Set the sum of probabilities equal to 11.

What does P(X>3)P(X > 3) represent?

The probability that XX takes values greater than 3.

How do you find P(4X<6)P(4 ≤ X < 6)?

Add P(X=4)P(X=4) and P(X=5)P(X=5).

What does P(X1=X2)P(X_1 = X_2) indicate?

The probability that two sampled values are equal.

How is P(X1+X2=5)P(X_1 + X_2 = 5) determined?

Find combinations of values that add to 55.

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