The geometric distribution: check 1
Difficulty: ★★☆Info
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.
The geometric distribution: review variant 1
Difficulty: ★★☆Info
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.
The geometric distribution: check 2
Difficulty: ★★☆Info
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.
The geometric distribution: review variant 2
Difficulty: ★★☆Info
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.
The geometric distribution: check 3
Difficulty: ★★☆Info
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.
The geometric distribution: review variant 3
Difficulty: ★★☆Info
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.
The geometric distribution: check 4
Difficulty: ★★☆Info
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.
The geometric distribution: review variant 4
Difficulty: ★★☆Info
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.