Question
upstudy study bank question image url

Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1 . Find the probability that a randomly selected subject has a bone density score greater than \( =0.37 \). o ass21 o a.6443 O 0.3557 00.6179

Ask by Blake Santiago. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability that a randomly selected subject has a bone density score greater than 0.37 is 0.3557.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To find the probability that a randomly selected subject has a bone density score greater than 0.37, you can use the Z-score and standard normal distribution. The Z-score corresponding to a score of 0.37 can be found using the cumulative distribution function (CDF). Looking up 0.37 in the standard normal distribution table gives you a probability of about 0.6443 for scores less than or equal to 0.37. Therefore, the probability for scores greater than 0.37 will be 1 - 0.6443 = 0.3557. So, the answer is **0.3557.** To summarize, you're basically looking for the area under the curve to the right of your Z-score. Just like finding the slice of your favorite pie that's left — you know what's already gone (the lower scores), and you're calculating what's still up for grabs (the higher scores).

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy