Mean (E(X)) and variance (Var(X)) using the probability generating function: check 1
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(10+11t+13t^2)/34\).
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.
Mean (E(X)) and variance (Var(X)) using the probability generating function: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(11+12t+14t^2)/37\).
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.
Mean (E(X)) and variance (Var(X)) using the probability generating function: check 2
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(11+12t+14t^2)/37\).
Find E(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Mean (E(X)) and variance (Var(X)) using the probability generating function: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(12+13t+15t^2)/40\).
Find E(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Mean (E(X)) and variance (Var(X)) using the probability generating function: check 3
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(12+13t+15t^2)/40\).
Find Var(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Mean (E(X)) and variance (Var(X)) using the probability generating function: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(13+14t+16t^2)/43\).
Find Var(X).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Mean (E(X)) and variance (Var(X)) using the probability generating function: check 4
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(13+14t+16t^2)/43\).
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.
Mean (E(X)) and variance (Var(X)) using the probability generating function: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
X has PGF \(G_X(t)=(14+15t+17t^2)/46\).
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.