According to LiveScience.com, 41% of the US population has Type O blood. Answer

Question

According to LiveScience.com, 41% of the US population has Type O blood. Answer the following questions regarding a school blood drive.

Part 1 of 2:

What is the probability that exactly 8 of the first 10 blood donors have Type O blood? Show your binomial model using the equation editor but feel free to let StatCrunch perform the calculations for you. Round your result to four decimal places. To write a binomial coefficient, use the matrix tab and choose the icon with two inputs within parentheses. There is no partial credit if the proper notation isn't used.

Part 2 of 2:

What is the probability that no more than 2 of the first 10 blood donors have Type O blood? Show all parts of your binomial model using the equation editor but feel free to let StatCrunch perform the calculations for you. Round your result to four decimal places. There is no partial credit if the proper notation isn't used.

Explanation / Answer

Answer to the question below:

p = .41

a.

P(X=8 outof 10)

= 10C8 (.41^8)(.59^2)

=.0125

b.

P(X<=2 out of 10)

= 10C0 (.41^0)(.59^10) +10C1 (.41^1)(.59^9) + 10C2 (.41^2)(.59^8)

= 0.1517  

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