t the Blood Bank, they know that O+ blood is the most common blood type and that 40%40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6%6% of the people have A- blood. Half of the people have blood type A or B. Let:X=X= number of people who have blood type O+Y=Y= number of people who have blood type A-Z=Z= number of people who have blood type A or B Consider a random sample of n = 11 people who donated blood over the past three months.The expected number of people with blood type O+isand the expected number of people with blood type A-isRound your answers to 2 decimal places.Calculate the following probabilities:P(X = 4) =Round your answer to 4 decimal places.o P(X > 1) =Round your answer to 4 decimal places.

Answered: Consider a random sample of n = 11…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

t the Blood Bank, they know that O+ blood is the most common blood type and that 40%40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6%6% of the people have A- blood. Half of the people have blood type A or B.

Let:

X=X= number of people who have blood type O+
Y=Y= number of people who have blood type A-
Z=Z= number of people who have blood type A or B

Consider a random sample of n = 11 people who donated blood over the past three months.
The expected number of people with blood type O+is
and the expected number of people with blood type A-is
Round your answers to 2 decimal places.
Calculate the following probabilities:
P(X = 4) =
Round your answer to 4 decimal places.
o P(X > 1) =
Round your answer to 4 decimal places.

Expert Solution

Step 1

A random variable x will follow the binomial distribution if the following conditions are satisfied.

There are total n number of fixed trials.
Each trial has two possible outcomes.
The probability of success p in each trial is equal.
Each trial is independent.

The probability mass function of binomial distribution is $P (x) = (\begin{matrix} n \\ x \end{matrix}) p^{x} {(1 - p)}^{n - x}$ . The binomial random variable x represents the number of successful trials out of total n trials. The expected value of binomial random variable is $E (x) = n p$ .