Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Probability Distribution: T-table and Z-table, Study notes of Mathematics

Mathematics

An enlisted document for ready made printable z-table and t-table

Typology: Study notes

2019/2020

Uploaded on 02/04/2020

unknown user
unknown user 🇵🇭

5

(1)

3 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Group XI –
Betelgeuse
Jullar, Angie
Kamal, Nasria
Depamaylo, Kyle
Ferrer, Krystelle
ACTIVITY #1
1. Roll a die 50 times. Construct a probability distribution, draw a histogram,
and find the variance and standard deviation. Then, compare the results
with the theoretical results.
Probability Distribution
X123456
P(X) 8/50 6/50 11/50 12/50 2/50 11/50
Histogram
123456
0
0.05
0.1
0.15
0.2
0.25
0.3
Histogram of Rolling a Number in a Die 50 times
Histogram of R olling a Number in a Die 50 ti mes
pf3

Partial preview of the text

Download Probability Distribution: T-table and Z-table and more Study notes Mathematics in PDF only on Docsity!

Group XI – Betelgeuse Jullar, Angie Kamal, Nasria Depamaylo, Kyle Ferrer, Krystelle ACTIVITY #

  1. Roll a die 50 times. Construct a probability distribution, draw a histogram, and find the variance and standard deviation. Then, compare the results with the theoretical results. Probability Distribution X 1 2 3 4 5 6 P(X) 8/50 6/50 11/50 12/50 2/50 11/ Histogram 1 2 3 4 5 6 0

Histogram of Rolling a Number in a Die 50 times

Histogram of Rolling a Number in a Die 50 times

Finding the Variance and Standard Deviation x P(x) (^) x × p ( x ) (^) x^2 × p ( x ) 1 8/50 8/50 8/ 2 6/50 12/50 24/ 3 11/50 33/50 99/ 4 12/50 48/50 192/ 5 2/50 10/50 50/ 6 11/50 66/50 396/

∑ x^ ×^ p^ (^ x^ )=3.54^ ∑ x

2 × p (^ x )^ =15. μ = 3. σ^2 = 15.34 – 12.5316 = 2. σ (^) = 1.675828153 ≈ (^) 1. Theoretical Result x P(x) x × p ( x ) (^) x^2 × p ( x ) 1 1/6 1/6 1/ 2 1/6 2/6 4/ 3 1/6 3/6 9/ 4 1/6 4/6 16/ 5 1/6 5/6 25/ 6 1/6 6/6 36/

∑ x^ ×^ p^ (^ x^ )=3.5^ ∑ x

2 × p (^ x )^ =15. μ = 3. σ (^2) = 15.1666667- 12.25 = 2. σ = 1.707825128 ≈ 1. Therefore, compared to the theoretical result, the experimental result is quite near to the values presented above. Thus, the theoretical result is an authentic and standardized basis which holds true for all experimental data.

  1. Find the mean, variance and standard deviation of the members’ score in General Mathematics Midterm Exam. Mean of Midterm Exam μ =