Question 4 1 pts The following table represents the survivial status for passengers of the Titanic by gender. Women Children Men Total Survived 304 56 130 Deceased 112 56 638 Find the following probabilities. Express your answer as a decimal rounded to four decimal places. a.) You randomly select a passenger. Find the probability the passenger is a child given they survived. b.) You randomly select a passenger. Find the probability the passenger survived, given they were a man. c.) You randomly select two passengers without replacement. Find the probability they are both women.
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a.) You randomly select a passenger. Find the probability the passenger is a child given they survived. Show more…
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The following contingency table gives the number of passengers on the Titanic classified by survival and gender: Man Woman Child Total Survived 332 318 706 1356 Died 1360 104 1517 2981 Total 1692 422 2223 4337 a) Determine the probability that the selected passenger was a Child. (This is called marginal probability) b) Suppose that the selected passenger was a Man. What is the (conditional) probability that he Survived? c) Suppose that the selected passenger was a Woman. What is the probability that she Survived? d) Suppose that the selected passenger was a Child. What is the probability that he/she Survived? e) Among Men, Women, and Children, which group had the highest probability of survival? f) Suppose we know that the selected passenger survived. What is the probability that this passenger was a Child?
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The table below lists the Titanic mortality data. Assume that we randomly select a person from the Titanic. | | Men | Women | Children | Total | | :--- | :--- | :--- | :--- | :--- | | Survived | 332 | 318 | 56 | 706 | | Died | 1360 | 104 | 53 | 1517 | | Total | 1692 | 422 | 109 | 2223 | Find the following probabilities. Show your work! Convert all fractions to decimals or percents! a) [3 points] If we select one person at random, what is the probability that the person survived and was a woman? b) [3 points] Given a man is selected, what is the probability that he survived? c) [3 points] If we select one person at random, what is the probability that the person is a child or survived?
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