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