At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let:X= number of people who have blood type O+Y= number of people who have blood type A-Z= number of people who have blood type A or BConsider a random sample of n=9 people who donated blood over the past three months.a) 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.b) Calculate the following probabilities:P(X=5)=_________ Round your answer to 4 decimal places.P(X>2)=_________ Round your answer to 4 decimal places.

Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Answered: At the Blood Bank, they know that O+…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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Question

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

Let:

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

Consider a random sample of n=9 people who donated blood over the past three months.

a) 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.

b) Calculate the following probabilities: