Question: For the below problem show your work and explain your answer. A survey of 2,345 Bulgarian adults (male and female) asked if they feel stressed

For the below problem show your work and explain your answer.

A survey of 2,345 Bulgarian adults (male and female) asked if they feel stressed at the office, with only two possible answers "yes" or "no". All the respondents participated and answered the survey.

The results indicated that of 982 males, 321 answered yes. Of all females, 236 answered yes.

a.(1 point) Suppose that the respondent chosen is a female. What is the probability that she felt stressed?

b.(1 point) Suppose that the respondent chosen does indicate that he or she does not feel stressed. What is the probability that the individual is a male?

c.(2 points) Are stressed and the gender of the individual independent? Explain.

d.(1 point) What is the probability that a respondent chosen at random is a female and indicates that he/she feels stressed?

e.(1 point) What is the probability that a respondent chosen at random is a female or is a person who feels stressed?

f.(1 point) What is the probability that a respondent chosen at random is a male or is a person who does not feels stressed?

Calculate all the above, show your work and present answer with 3 decimals

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