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Practice — The binomial and geometric distributions • The geometric distribution

The geometric distribution: check 1
Difficulty: ★★☆
2845
Info
M4U-EXT-QP-9709-S1-T151-O1

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{3}{10}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=6\).

Find \(\displaystyle P(X=r)\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The geometric distribution: review variant 1
Difficulty: ★★☆
2846
Info
M4U-EXT-QP-9709-S1-T151-O1-V1

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{2}{5}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=3\).

Find \(\displaystyle P(X=r)\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The geometric distribution: check 2
Difficulty: ★★☆
2847
Info
M4U-EXT-QP-9709-S1-T151-O2

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{2}{5}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=3\).

Find P(X>r).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
The geometric distribution: review variant 2
Difficulty: ★★☆
2848
Info
M4U-EXT-QP-9709-S1-T151-O2-V1

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{1}{2}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=4\).

Find P(X>r).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The geometric distribution: check 3
Difficulty: ★★☆
2849
Info
M4U-EXT-QP-9709-S1-T151-O3

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{1}{2}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=4\).

Find E(X).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The geometric distribution: review variant 3
Difficulty: ★★☆
2850
Info
M4U-EXT-QP-9709-S1-T151-O3-V1

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{3}{5}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=5\).

Find E(X).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Log in to check answers and record progress. You can still view solutions.
The geometric distribution: check 4
Difficulty: ★★☆
2851
Info
M4U-EXT-QP-9709-S1-T151-O4

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{3}{5}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=5\).

Find Var(X).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The geometric distribution: review variant 4
Difficulty: ★★☆
2852
Info
M4U-EXT-QP-9709-S1-T151-O4-V1

Maths4U Original · Short practice

Independent trials have success probability \(\displaystyle \frac{1}{5}\). X is the trial number of the first success, starting at 1. Let \(\displaystyle r=6\).

Find Var(X).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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