37. Find P99, the 99th percentile. This is the bone density score separating the bottom 99% from the top 1%.

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Hello, I'm having some hard time with #37 and #39.

 

Finding Bone Density Scores. In Exercises 37–40 assume that a randomly selected sub-
ject is given a bone density test. Bone density test scores are normally distributed with a mean
of 0 and a standard deviation of 1. In each case, draw a graph, then find the bone density test
score corresponding to the given information. Round results to two decimal places.
37. Find P99, the 99th percentile. This is the bone density score separating the bottom 99%
from the top 1%.
38. Find P10, the 10th percentile. This is the bone density score separating the bottom 10%
from the top 90%.
39, If bone density scores in the bottom 2% and the top 2% are used as cutoff points for levels
that are too low or too high, find the two readings that are cutoff values.
40. Find the bone density scores that can be used as cutoff values separating the lowest 3% and
highest 3%.
Transcribed Image Text:Finding Bone Density Scores. In Exercises 37–40 assume that a randomly selected sub- ject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the bone density test score corresponding to the given information. Round results to two decimal places. 37. Find P99, the 99th percentile. This is the bone density score separating the bottom 99% from the top 1%. 38. Find P10, the 10th percentile. This is the bone density score separating the bottom 10% from the top 90%. 39, If bone density scores in the bottom 2% and the top 2% are used as cutoff points for levels that are too low or too high, find the two readings that are cutoff values. 40. Find the bone density scores that can be used as cutoff values separating the lowest 3% and highest 3%.
Expert Solution
Step 1

Here given mean is zero and standard deviation is 1 

So it is standard normal distribution 

Here use standard normal distribution table for z score from probability 

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