Probability Distributions (AQA A-Level Mathematics): Quizzes

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Discrete Probability Distributions
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What is a discrete random variable?

A quantity taking discrete values by chance

In probability notation, what does capital XX represent?

The value of the variable

What must all probabilities in a distribution sum to?

11

Given P(X=x)=kxP(X=x)=kx for x=1,2,3x=1,2,3 and k+2k+3k=1k+2k+3k=1, what is kk?

16\frac{1}{6}

In P(4≤X<6)P(4 \leq X < 6), which values of XX are included?

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

Using the table where 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, find P(X>3)P(X>3).

0.20.2

If P(X=4)=0.1P(X=4)=0.1 and P(X=5)=0.06P(X=5)=0.06, what is P(4≤X<6)P(4 \leq X < 6)?

0.160.16

For discrete XX with values {2,3,4}\{2,3,4\}, which values count in P(2.5≤X≤3.7)P(2.5 \leq X \leq 3.7)?

X=3X = 3 only

If P(X=2)=0.6P(X=2)=0.6 and P(X=3)=0.4P(X=3)=0.4, what is P(X1=X2=2)P(X_1=X_2=2) for independent samples?

0.360.36

If P(X=2)=0.6P(X=2)=0.6, P(X=3)=0.2P(X=3)=0.2 independently, what is P(X1+X2=5)P(X_1+X_2=5)?

0.240.24

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