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 University blood drive. Please show all work clearly and follow instructions.

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

We have

n= 10, p = 0.41

A) P(X= 8)

Use excel function

BINOM.DIST(8,10,0.41,FALSE) = 0.0125

So, answer is 0.0125

B) P(X<=2)

Use excel function

BINOM.DIST(2,10,0.41, TRUE) = 0.1517

So, answer is 0.1517

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