the table displays the distribution of blood types a, b, ab, and o to the presence of the rh factor that is…

the table displays the distribution of blood types a, b, ab, and o to the presence of the rh factor that is either present (pos.) or absent (neg.). use the information in the two - way table to complete the statement. the probability that a person has a positive rh factor given that he/she has type o blood is percent. there is a greater probability for a person to have a than a person to have a positive rh factor given type o blood.\n| | a | b | ab | o | total |\n|--|--|--|--|--|--|--|\n| neg. |.07 |.02 |.01 |.08 |.18 |\n| pos. |.33 |.09 |.03 |.37 |.82 |\n| total |.40 |.11 |.04 |.45 | 1.0 |

the table displays the distribution of blood types a, b, ab, and o to the presence of the rh factor that is either present (pos.) or absent (neg.). use the information in the two - way table to complete the statement. the probability that a person has a positive rh factor given that he/she has type o blood is percent. there is a greater probability for a person to have a than a person to have a positive rh factor given type o blood.\n| | a | b | ab | o | total |\n|--|--|--|--|--|--|--|\n| neg. |.07 |.02 |.01 |.08 |.18 |\n| pos. |.33 |.09 |.03 |.37 |.82 |\n| total |.40 |.11 |.04 |.45 | 1.0 |

Answer

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the context of the two - way table, if $A$ is the event of having a positive Rh factor and $B$ is the event of having type O blood, then $P(A\cap B)$ is the proportion of people with type O blood and positive Rh factor, and $P(B)$ is the proportion of people with type O blood.

Step2: Identify values from the table

From the table, the proportion of people with type O blood and positive Rh factor ($P(A\cap B)$) is $0.37$, and the proportion of people with type O blood ($P(B)$) is $0.45$.

Step3: Calculate the conditional probability

$P(A|B)=\frac{0.37}{0.45}\approx 0.8222$. To convert this to a percentage, we multiply by 100: $0.8222\times100 = 82.22%$.

Answer:

$82.22$