People with O-negative blood are called “universal donors” because O-negative blood can be given to patients with any blood type. However, only about 6% of people have O-negative blood, which presents a challenge in balancing supply and demand made more complicated not only by the logistics of finding donors that meet health criteria, but also by the fact that the blood type of donor and patient must be matched. This is especially true, since, unlike a manufacturer who can balance supply by planning to produce or to purchase more or less of a key item, blood supply from volunteer donors show up more-or-less at random (at least in terms of blood type). Thus, modeling the arrival of samples with various blood types helps humanitarian organizations, such as the Philippine Red Cross, to plan their blood allocations. Of the next 20 donors to arrive at Philippine Red Cross, how many universal donors can be expected? (Answer in 1 decimal place) What is the standard deviation of the number of universal donors? (Answer in 2 decimal places)  What is the probability that there are exactly 2 or 3 universal donors out of the 20 donors to arrive at Philippine Red Cross? (Answer in 4 decimal places)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

People with O-negative blood are called “universal donors” because O-negative blood can be given to patients with any blood type. However, only about 6% of people have O-negative blood, which presents a challenge in balancing supply and demand made more complicated not only by the logistics of finding donors that meet health criteria, but also by the fact that the blood type of donor and patient must be matched. This is especially true, since, unlike a manufacturer who can balance supply by planning to produce or to purchase more or less of a key item, blood supply from volunteer donors show up more-or-less at random (at least in terms of blood type). Thus, modeling the arrival of samples with various blood types helps humanitarian organizations, such as the Philippine Red Cross, to plan their blood allocations.

Of the next 20 donors to arrive at Philippine Red Cross, how many universal donors can be expected? (Answer in 1 decimal place)

What is the standard deviation of the number of universal donors? (Answer in 2 decimal places) 

What is the probability that there are exactly 2 or 3 universal donors out of the 20 donors to arrive at Philippine Red Cross? (Answer in 4 decimal places)

Interpret your results in two sentences only.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON