For the normal distribution with parameters μ = 0, σ = 3; calculate P(x 1).
A) 0.5812
B) 0.1214
C) 0.3707
D) 0.4412

Question

For the normal distribution with parameters μ = 0, σ = 3; calculate P(x > 1).
A) 0.5812
B) 0.1214
C) 0.3707
D) 0.4412

Quizplus · Accepted Answer

To find P(x > 1) for a normal distribution with μ = 0 and σ = 3, we first calculate the z-score: z = (1 - 0) / 3 = 1/3. Looking up this z-score in a standard normal distribution table or using a calculator, we find the area to the left of z is approximately 0.6293. Since we want the area to the right, we subtract this from 1, giving 1 - 0.6293 = 0.3707.

For the Normal Distribution with Parameters μ = 0, σ