The probability generating function: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{13+ 14t+ 16t^{2}}{43}\).
Find \(\displaystyle P(X=2)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The probability generating function: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{14+ 15t+ 17t^{2}}{46}\).
Find \(\displaystyle P(X=2)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The probability generating function: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{14+ 15t+ 17t^{2}}{46}\).
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 probability generating function: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{15+ 16t+ 18t^{2}}{49}\).
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 probability generating function: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{15+ 16t+ 18t^{2}}{49}\).
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 probability generating function: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{16+ 17t+ 19t^{2}}{52}\).
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 probability generating function: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{16+ 17t+ 19t^{2}}{52}\).
Find E(X(X−1)).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The probability generating function: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
X has PGF \(\displaystyle G_{X}(t)= \frac{17+ 18t+ 20t^{2}}{55}\).
Find E(X(X−1)).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.