For the normal distribution with parameters μ = 4, σ = 3; calculate P(x 1).
A) 0.8413
B) 0.4562
C) 0.7812
D) 0.4152

Question

For the normal distribution with parameters μ = 4, σ = 3; calculate P(x > 1).
A) 0.8413
B) 0.4562
C) 0.7812
D) 0.4152

Quizplus · Accepted Answer

To calculate P(x > 1) for a normal distribution with μ = 4 and σ = 3, we first find the z-score: z = (1 - 4) / 3 = -1. The table or calculator gives P(Z > -1) = 0.8413, since the normal distribution is symmetric and we're looking for the area to the right of z = -1.

For the Normal Distribution with Parameters μ = 4, σ