A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 2 years ago

Assume that the readings on the thermometers are normally distributed with a mean of 0 and standard deviation of 1.00 Celsius. A thermometer is randomly selected and tested. find probability of the reading with given values 1.50 and 2.25

  • This Question is Open
  1. nincompoop
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we have three significant figures?

  2. ybarrap
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We are looking for the probability below: |dw:1394346922243:dw| $$ \Phi\left(\cfrac{x_2-\mu}{\sigma}\right)-\Phi\left(\cfrac{x_1-\mu}{\sigma}\right)\\ \approx\cfrac{1}{2} \text{erfc}\left (\cfrac{\mu-x_2}{\sqrt 2 \times \sigma}\right )-\cfrac{1}{2} \text{erfc}\left (\cfrac{\mu-x_1}{\sqrt 2 \times \sigma}\right) \\ \approx 0.0546 $$ Where \(\Phi(x)\) is the standard normal and \(x_2=2.25, x_1=1.50,\mu=0\) and -\(\sigma=1\). Erfc is the error function complement that approximates the standard normal. So there is about 5.46% chance that the reading will be between 1.50 and 2.25 degrees. Does this make sense? Here are two links explaining these concepts. http://en.wikipedia.org/wiki/Standard_normal_distribution#Cumulative_distribution http://en.wikipedia.org/wiki/Error_function#Applications

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.