Data Science with Rationale One multiple Choice Question

Conditional probability
The text and table below are from OpenIntro Stats. Use the table to calculate P(lived | inoculated)
for the given sample and explain your answer.
The smallpox data set provides a sample of 6,224 individuals from the year 1721 who were
exposed to smallpox in Boston. Doctors at the time believed that inoculation, which involves
exposing a person to the disease in a controlled form, could reduce the likelihood of death.
Each case represents one person with two variables: inoculated and result. The variable
inoculated takes two levels: yes or no, indicating whether the person was inoculated or not. The
variable result has outcomes lived or died. These data are summarized in Tables 3.15 and 3.16.
Figure 3.15: Contingency table for the smallpox data set.
O A. 238/5374 = 0.044
B. 238/6224 = 0.038
O C. 238/244 = 0.975
D. 5374/6244= 0.845
O E. 5736/5980 = 0.858

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