100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
MATH 216 Computer Oriented Approach to Statistics (Assignment 3A) Questions and Answers Athabasca University $14.99   Add to cart
Quickly navigate to
Preview
  2.  
  3. MATH 216
  4.  
  5. MATH 216

Exam (elaborations)

MATH 216 Computer Oriented Approach to Statistics (Assignment 3A) Questions and Answers Athabasca University
 4 views  0 purchase
  • Course
  • MATH 216
  • Institution
  • MATH 216

MATH 216 Computer Oriented Approach to Statistics (Assignment 3A) Questions and Answers Athabasca University

Preview 2 out of 8  pages

Document information

  • August 26, 2024
  • 8
  • 2024/2025
  • Exam (elaborations)
  • Unknown

Subjects

  • math 216
  • athabasca university
  • computer oriented approach to statistics
  • computer oriented approach
  • math 216 computer oriented approach to statistics

Written for

  • MATH 216
  • MATH 216

Seller

avatar-seller
saraciousstuvia

Reviews received

Content preview

MATH 216 Computer Oriented
Approach to Statistics (Assignment
3A) Questions and Answers
Athabasca University

, lOMoAR cPSD| 43283024




Problem 1. Heart transplants
Past statistics suggest that the “success rate” (survival rate five years after the transplant) of heart transplants is
about 75%. If one randomly selects ten patients who have just received a heart transplant, find the probability
that:
Solution:
x n−x
P (X) = nCx p q
The values of n, p, q, and x are:
N = 10, p = 0.75, q = 0.25, and x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
a. all ten patients survive [2 marks]
10!
P (10) = 10C10 (0.75)10 (0.25)0 = (0.75)10 (0.25)0 = 1 (0.75)10
(10− 10) ! 10!
(0.25)0 = 0.0563
b. zero patients survive [2 marks]
10 !
P (0) = 10C0 (0.75)0 (0.25)10 = (0.75)0 (0.25)10 = 1(0.75)0
( −0) ! 0 !
10
(0.25)10 = 0.0000
c. at most 4 patients survive [2 marks]
First Step:
10 !
P (0) =10C10 (0.75)0 (0.25)10 = (0.75)0 (0.25)10 = 1(0.75)0
( −0) ! 0 !
10
(0.25)10 = 0.0000
P(1) = C 1 9 10. 9 ! 1 9
= 1 9
=
=
(0.75) (0.25) (0.75) (0.25) (0.25)
(10−1)! 1! 10(0.75)
10 1


0.0000
P(2)= C 2 8 110.9 . 8 ! 2 8
=
2 8
= 0.0004
=
(0.75) (0.25) (0.75) (0.25) 45 (0.75) ( 0.25)
10 2
(10−2) ! 2!
10.9 .8 .7 !
P(3)= C
3 7
= (0.75)3(0.25)7 = 3 7
= 0.0031
10 3 (0.75) (0.25) (10−3) ! 3 ! 120(0.75) (0.25)
10.9 .8 .7 . 6 !
P(4)= C 4 6
= (0.75)4 (0.25)6 = 4 6
10 4 (0.75) (0.25) ( 10−4 )! 4 ! 210(0.75) ( 0.25) =0.0162
Second Step:
P(x ≤ 4 ¿=P(0)+ P(1)+ P (2)+ P( 3)+ P( 4)
≈0.0000+0.0000+0.003+0.016
≈0.0190
d. more than 7 patients survive [2 marks]
First Step:




2 Mathematics 216/ Assignment 3

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller saraciousstuvia. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $14.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

81298 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$14.99
  • (0)
  Add to cart