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Course: Statistics — Third Secondary
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Discrete Random Variables — Lesson quiz

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1.
What two conditions must a discrete probability distribution satisfy?
f(x) > 1 for each value, and the probabilities sum to 0
0 ≤ x ≤ 1 for each value, and the values sum to 1
0 ≤ f(x) ≤ 1 for each value, and the probabilities sum to 1
f(x) = x, and the probabilities sum to 2
2.
In one toss of two coins, with X the number of heads, what is P(X ≥ 1)?
1 ÷ 4
1 ÷ 2
3 ÷ 4
1
3.
If f(x) = k × x for x = 1, 2, 3, 4, find k.
k = 1 ÷ 10
k = 1 ÷ 4
k = 1 ÷ 5
k = 10
4.
A distribution gives probabilities 0.1, a, 0.3, 0.2 for x = 0, 1, 2, 3 respectively. Find a.
0.3
0.5
0.6
0.4
5.
In the distribution P(0) = 0.1, P(1) = 0.4, P(2) = 0.3, P(3) = 0.2, find P(1 ≤ X < 3).
0.7
0.9
0.3
0.6
6.
In an experiment of rolling a die twice and counting the number of 6s, find f(0).
11 ÷ 36
1 ÷ 36
25 ÷ 36
5 ÷ 6
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