According to a recent poll taken in August by Pew Research, 83% of men said that they regularly wear a mask when in stores or other businesses and 87% of women said the same. Suppose in a large city, 55% of the population is women and 45% is men. The probability that we randomly choose a resident that does not regularly wear a mask given that the resident is a male is to be determined. Which of the following would be the most appropriate method to use to determine this conditional probability? Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a woman does not wear a mask. Put the probabilities in a contingency table with the rows being the probability of male/female and the columns being the probability of mask/no mask. Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a man does wear a mask. Since wearing a mask is independent of gender, multiply the probabilities. Use a Tree Diagram with Male/Female as your first branch and then mask/no mask as YOur next branches

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According to a recent poll taken in August by Pew Research, 83% of men said that they regularly weara mask when in stores or other businesses and 87% of women said the
same. Suppose in a large city, 55% of the population is women and 45% is men. The probability that we randomly choose a resident that does not regularly wear a mask given
that the resident is a male is to be determined. Which of the following would be the most appropriate method to use to determine this conditional probability?
Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a woman does not wear a mask.
Put the probabilities in a contingency table with the rows being the probability of male/female and the columns being the probability of mask/no mask.
Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a man does wear a mask.
Since wearing a mask is independent of gender, multiply the probabilities.
Use a Tree Diagram with Male/Female as your first branch and then mask/no mask as your next branches.
Transcribed Image Text:According to a recent poll taken in August by Pew Research, 83% of men said that they regularly weara mask when in stores or other businesses and 87% of women said the same. Suppose in a large city, 55% of the population is women and 45% is men. The probability that we randomly choose a resident that does not regularly wear a mask given that the resident is a male is to be determined. Which of the following would be the most appropriate method to use to determine this conditional probability? Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a woman does not wear a mask. Put the probabilities in a contingency table with the rows being the probability of male/female and the columns being the probability of mask/no mask. Use a Venn Diagram with one circle being the probability that a man does not wear a mask and the other circle the probability that a man does wear a mask. Since wearing a mask is independent of gender, multiply the probabilities. Use a Tree Diagram with Male/Female as your first branch and then mask/no mask as your next branches.
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