Only 70% of the pints of human blood donated at blood banks are suitable for hospital use. The remaining 30% are not suitable due to various infections in the blood. Suppose we randomly choose 18 donated pints of blood from a blood bank. Assume these pints come from randomly selected citizens. Our selections of blood pints are independent from one another. Let X be the number of selected pints of blood which are suitable for hospital use. Let Y be the number of selected pints of blood which are not suitable for hospital use. Let p = the probability of a particular randomly selected pint of blood being suitable for hospital use a. What is the value of p as a decimal? b. What is the probability that X = 12?| c. What is the probability that X > 12?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Only 70% of the pints of human blood donated at blood banks are suitable for hospital use. The remaining 30% are not suitable due
to various infections in the blood. Suppose we randomly choose 18 donated pints of blood from a blood bank. Assume these pints
come from randomly selected citizens. Our selections of blood pints are independent from one another. Let X be the number of
selected pints of blood which are suitable for hospital use. Let Y be the number of selected pints of blood which are not suitable for
hospital use. Let p = the probability of a particular randomly selected pint of blood being suitable for hospital use
a. What is the value of p as a decimal?
b. What is the probability that X = 12?
c. What is the probability that X 12?
d. What is the probability that 10 ≤ x ≤ 15?
e. What is the expected value of X?
f. What is the variance of X?
g. What is the probability that all selected pints of blood are suitable?
h. What is the probability that Y < 5?
i. What is the probability that Y = 6?
j. What is the probability that Y = 6 given that X = 12?
Transcribed Image Text:Only 70% of the pints of human blood donated at blood banks are suitable for hospital use. The remaining 30% are not suitable due to various infections in the blood. Suppose we randomly choose 18 donated pints of blood from a blood bank. Assume these pints come from randomly selected citizens. Our selections of blood pints are independent from one another. Let X be the number of selected pints of blood which are suitable for hospital use. Let Y be the number of selected pints of blood which are not suitable for hospital use. Let p = the probability of a particular randomly selected pint of blood being suitable for hospital use a. What is the value of p as a decimal? b. What is the probability that X = 12? c. What is the probability that X 12? d. What is the probability that 10 ≤ x ≤ 15? e. What is the expected value of X? f. What is the variance of X? g. What is the probability that all selected pints of blood are suitable? h. What is the probability that Y < 5? i. What is the probability that Y = 6? j. What is the probability that Y = 6 given that X = 12?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

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