The probability generating function: check 1
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(13+14t+16t^2)/43\).
Find 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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(14+15t+17t^2)/46\).
Find 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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(14+15t+17t^2)/46\).
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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(15+16t+18t^2)/49\).
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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(15+16t+18t^2)/49\).
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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(16+17t+19t^2)/52\).
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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(16+17t+19t^2)/52\).
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: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(17+18t+20t^2)/55\).
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.