Probability Distributions (Edexcel A-Level Mathematics): Quizzes

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Discrete Probability Distributions
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What defines a discrete random variable?

Takes discrete values assigned by chance

In notation, what does capital XX represent?

The value of the variable

What must all probabilities in a distribution sum to?

11

If P(X=x)=kxP(X=x) = kx for x=1,2,3x=1,2,3, what is kk?

k=16k = \frac{1}{6}

Given the table, what is P(X>3)P(X > 3) if P(X=4)=0.1P(X=4)=0.1, P(X=5)=0.06P(X=5)=0.06, P(X=6)=0.04P(X=6)=0.04?

0.20.2

What does P(4≤X<6)P(4 \leq X < 6) include?

X=4X=4 and X=5X=5 only

For discrete XX taking values 2,3,4,5,62,3,4,5,6, what does P(2.5≤X≤4.6)P(2.5 \leq X \leq 4.6) include?

X=3X=3 and X=4X=4

If P(X=2)=0.6P(X=2)=0.6 and P(X=3)=0.2P(X=3)=0.2, what is P(X=2)+P(X=3)P(X=2) + P(X=3)?

0.80.8

For independent X1,X2X_1, X_2 with P(X=2)=0.6P(X=2)=0.6, P(X=3)=0.2P(X=3)=0.2, what is P(X1=X2)P(X_1=X_2)?

0.62+0.220.6^2 + 0.2^2

For independent X1,X2X_1, X_2 with P(X=2)=0.6P(X=2)=0.6, P(X=3)=0.2P(X=3)=0.2, find P(X1+X2=5)P(X_1+X_2=5).

2×(0.6×0.2)2 \times (0.6 \times 0.2)

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