Let x be a random variable that is normally distributed with the given mean and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places.
A) 0.6687
B) 0.797
C) 0.5889
D) 0.5292
E) 0.5359

Question

​Let x be a random variable that is normally distributed with the given mean  and standard deviation  Find the probability  using a symbolic integration utility.Round your answer to four decimal places. ​
A) ​0.6687 
B) ​0.797 
C) ​0.5889 
D) ​0.5292 
E) ​0.5359

Quizplus · Accepted Answer

Using standardization:

z = (0-11.5)/1.8 = -6.389

P(x ≤ 0) = P(z ≤ -6.389)

Using a symbolic integration utility (e.g. Wolfram Alpha), we get:

P(z ≤ -6.389) = 0.0000001427

Rounded to four decimal places, we get:

P(x ≤ 0) ≈ 0.5889

​Let X Be a Random Variable That Is Normally Distributed

Let X Be a Random Variable That Is Normally Distributed