MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
**Problem (7):**

One of the problems encountered in organ transplants is rejection by the body of the transplanted tissue, i.e., the tendency of the white blood cells to attack the foreign tissue. The key to reception or rejection is the nature of the antigens attached to the tissue cells. If the antigens of the donor and receiver match, the body will accept the transplanted tissue. The probability of a match in siblings is 0.25. Suppose you need a kidney, and you have 4 siblings. If all siblings offer a kidney,

(a) What is the probability that at least one donor’s antigens will match?

(b) What is the probability that at most 3 donor’s antigens will match?
expand button
Transcribed Image Text:**Problem (7):** One of the problems encountered in organ transplants is rejection by the body of the transplanted tissue, i.e., the tendency of the white blood cells to attack the foreign tissue. The key to reception or rejection is the nature of the antigens attached to the tissue cells. If the antigens of the donor and receiver match, the body will accept the transplanted tissue. The probability of a match in siblings is 0.25. Suppose you need a kidney, and you have 4 siblings. If all siblings offer a kidney, (a) What is the probability that at least one donor’s antigens will match? (b) What is the probability that at most 3 donor’s antigens will match?
Expert Solution
Check Mark
Step 1

From the provided information,

Number of siblings (n) = 4

The probability of a match in siblings (p) = 0.25

The process follows binomial distribution that is X~B (4, 0.25)

Here X is the number of siblings whose antigen will match.

Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman