Standard Normal Distribution. In Exercises 9–12, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

Equation Transcription:

Text Transcription:

z=-1.04

Problem 10BSC

Answer:

Step1 of 2:

We have In Exercises, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

Step2 of 2:

From the above graph we have P(x > -1.04) area under normal curve can be calculated by using standard normal table or statistical table that is row -1.0 under column 0.04

P(x > -1.04) = 0.1492

But,

We need to find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1 and it is given by

P(x > -1.04) =1 - P(x < 1.04)

= 1 - 0.1492

= 0.8508.

Therefore, the area of the shaded region is 0.8508.