If a variable is Normal ( 10, 1 2) to Find the probability that ...

If a variable is Normal (Âµ = 10, Ïƒ = 1.2) to. Find the probability that...

90.2K

Verified Solution

Question

Statistics

If a variable is Normal (Âµ = 10, Ïƒ = 1.2)
to. Find the probability that X is between 10 and 12. (10points)
b. Calculate the X corresponding to the 80% percentile (10points)
c. Find the probability that X is greater than 9 (10 points)
d. If a sample of 15 data is taken, calculate the probability thatthe average is between 9.2 and 10. (10 points)
and. Calculate the 90% percentile of the average of X if the sampleis 15 data. (10 points)
F. If you sample 10 data, find the probability that the Total isbetween 105 and 120. (10 points)

Answer & Explanation Solved by verified expert

4.4 Ratings (852 Votes)

aGiven 10 12 We convet this to Standard Normal asPX x P Z X P 10 X 12 P Z 12 10 12 P Z 10 10 12 P Z 167 P Z 0 09525 05 04525bX N 10 12 P X x 80 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member