The data in the following table show the association between cigar smoking and death from cancer for 

131 comma 468131,468 

men.​ Note: current cigar smoker means cigar smoker at time of death. 

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left parenthesis a right parenthesis nbsp(a) 

If an individual is randomly selected from this​ study, what is the probability that he died from​ cancer?

left parenthesis b right parenthesis nbsp(b) 

If an individual is randomly selected from this​ study, what is the probability that he was a current cigar​ smoker?

left parenthesis c right parenthesis nbsp(c) 

If an individual is randomly selected from this​ study, what is the probability that he died from cancer and was a current cigar​ smoker?

left parenthesis d right parenthesis nbsp(d) 

If an individual is randomly selected from this​ study, what is the probability that he died from cancer or was a current cigar​ smoker?

Question content area bottom

Part 1

​(a) P(died from 

​cancer)equals=enter your response here

​(Round to three decimal places as​ needed.)

To solve this problem, we'll need to calculate probabilities using the given data about cigar smoking and death from cancer in a population of 131,468 men. The specific probabilities asked for are:

### Part (a): P(Died from Cancer)
This is the probability that a randomly selected individual from the study died from cancer.

\[
P(\text{Died from Cancer}) = \frac{\text{Number of individuals who died from cancer}}{\text{Total number of individuals in the study}}
\]

### Part (b): P(Current Cigar Smoker)
This is the probability that a randomly selected individual was a current cigar smoker.

\[
P(\text{Current Cigar Smoker}) = \frac{\text{Number of current cigar smokers}}{\text{Total number of individuals in the study}}
\]

### Part (c): P(Died from Cancer and Current Cigar Smoker)
This is the probability that a randomly selected individual both died from cancer and was a current cigar smoker.

\[
P(\text{Died from Cancer and Current Cigar Smoker}) = \frac{\text{Number of individuals who died from cancer and were current cigar smokers}}{\text{Total number of individuals in the study}}
\]

### Part (d): P(Died from Cancer or Current Cigar Smoker)
This is the probability that a randomly selected individual either died from cancer or was a current cigar smoker.

\[
P(\text{Died from Cancer or Current Cigar Smoker}) = P(\text{Died from Cancer}) + P(\text{Current Cigar Smoker}) - P(\text{Died from Cancer and Current Cigar Smoker})
\]

To proceed, I will need the specific numbers from the table. Could you provide the data or upload the table so I can calculate these probabilities for you?

Learn how to calculate probabilities related to cancer and cigar smoking associations in a study of 131,468 men. Understand the likelihood of dying from cancer, being a current cigar smoker, and the combined probabilities. Use our step-by-step guide to solve these statistical questions.

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