Probability distributions: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,13,26\) with respective probabilities \(13k,14k,16k\).
Find the normalising constant k.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,14,28\) with respective probabilities \(14k,15k,17k\).
Find the normalising constant k.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,14,28\) with respective probabilities \(14k,15k,17k\).
Find E(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,15,30\) with respective probabilities \(15k,16k,18k\).
Find E(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,15,30\) with respective probabilities \(15k,16k,18k\).
Find Var(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,16,32\) with respective probabilities \(16k,17k,19k\).
Find Var(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,16,32\) with respective probabilities \(16k,17k,19k\).
Find \(\displaystyle E((X+1)^2)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Probability distributions: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
X takes the values \(0,17,34\) with respective probabilities \(17k,18k,20k\).
Find \(\displaystyle E((X+1)^2)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.