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Chapter 7: Problem 10

The percentage of the general population that has each blood type is shown in the following table. Determine the probability distribution associated with these data. $$ \begin{array}{lcccc} \hline \text { Blood Type } & \text { A } & \text { B } & \text { AB } & \text { O } \\ \hline \text { Population, \% } & 41 & 12 & 3 & 44 \\ \hline \end{array} $$

Short Answer

Expert verified
The probability distribution for the given blood types is: $$ \begin{array}{lcccc} \hline \text { Blood Type } & \text { A } & \text { B } & \text { AB } & \text{ O } \\\ \hline \text { Probability } & 0.41 & 0.12 & 0.03 & 0.44 \\\ \hline \end{array} $$

Step by step solution

01

Convert percentages to probabilities

To convert each percentage into a probability, we will divide the percentage by 100, since probabilities range from 0 to 1. Step 2: Calculate probabilities for each blood type
02

Calculate probabilities for each blood type

We will now calculate probabilities for blood types A, B, AB, and O using the proportions provided. \(P(A) = \frac{41}{100}\) \(P(B) = \frac{12}{100}\) \(P(AB) = \frac{3}{100}\) \(P(O) = \frac{44}{100}\) Step 3: Write the probability distribution
03

Write the probability distribution

The probability distribution associated with these data is as follows: $$ \begin{array}{lcccc} \hline \text { Blood Type } & \text { A } & \text { B } & \text { AB } & \text{ O } \\\ \hline \text { Probability } & 0.41 & 0.12 & 0.03 & 0.44 \\\ \hline \end{array} $$

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Most popular questions from this chapter

A tax specialist has estimated that the probability that a tax return selected at random will be audited is 02 . Furthermore, he estimates that the probability that an audited return will result in additional assessments being levied on the taxpayer is .60. What is the probability that a tax return selected at random will result in additional assessments being levied on the taxpayer?

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