Assume that the random variable X is normally distributed, with mean μ = 100 and standard deviation σ = 15.Compute the probability P(X 112).
A) 0.2119
B) 0.1977
C) 0.7881
D) 0.2420

Question

Assume that the random variable X is normally distributed, with mean μ = 100 and standard deviation σ = 15.Compute the probability P(X > 112).
A) 0.2119
B) 0.1977
C) 0.7881
D) 0.2420

Quizplus · Accepted Answer

To find P(X > 112) for a normally distributed variable with mean μ = 100 and standard deviation σ = 15, we first calculate the Z-score: Z = (X - μ) / σ = (112 - 100) / 15 ≈ 0.8. Using standard normal distribution tables or a calculator, we find the probability for Z > 0.8, which is approximately 0.2119.

Assume That the Random Variable X Is Normally Distributed, with Mean