A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 2 years ago
Suppose x is normally distributed random variable with μ = 12 and σ =2. Find each of the following probabilities.
a. P (x ≥ 13.5) b. P (x ≤ 8) c. P (12.62 ≤ x ≤ 16.54) d. P (7.02 ≤ x ≤ 15.32)
anonymous
 2 years ago
Suppose x is normally distributed random variable with μ = 12 and σ =2. Find each of the following probabilities. a. P (x ≥ 13.5) b. P (x ≤ 8) c. P (12.62 ≤ x ≤ 16.54) d. P (7.02 ≤ x ≤ 15.32)

This Question is Closed

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0They just want you to find Zscores and look up the probabilities in tables. e.g. for the first, find the area to the right of \(Z\) where $$Z=\frac{13.512}2=\frac{1.5}2=0.75$$You can determine the area to the left and subtract from 1.

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0(b) just wants the area to the left of \(Z=(812)/2=4/2=2\). Use your table. For (c) and (d), they want the area between two \(Z\):dw:1370722148193:dw

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0Oldrin, I don't have a solid background in Algebra or statistics. So i have problems working these problems out. I would not know how to get these anwers to c. and d. without a step by step.

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0The answer they have for a and b are 0.227 and 0.023?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0Okay. For (c), first find the appropriate \(Z\) scores:$$Z_1=\frac{12.6212}2=\frac{0.62}2=0.31\\Z_2=\frac{16.5212}2=\frac{4.52}2=2.26$$We want the area between the two. Graphically, you can see this is the difference in their respective lefttails:dw:1370722767214:dw

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0So find the areas to the left of \(Z=2.26\) and \(Z=0.31\) in your table. Find their difference.
Ask your own question
Sign UpFind more explanations on OpenStudy
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...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 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.