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Married women. The 2010 American Community Survey
Chapter , Problem 3.21(choose chapter or problem)
Married women. The 2010 American Community Survey estimates that 47.1% of women ages 15 years and over are married.48 (a) We randomly select three women between these ages. What is the probability that the third woman selected is the only one who is married? (b) What is the probability that all three randomly selected women are married? (c) On average, how many women would you expect to sample before selecting a married woman? What is the standard deviation? (d) If the proportion of married women was actually 30%, how many women would you expect to sample before selecting a married woman? What is the standard deviation? (e) Based on your answers to parts (c) and (d), how does decreasing the probability of an event aect the mean and standard deviation of the wait time until success?
Questions & Answers
QUESTION:
Married women. The 2010 American Community Survey estimates that 47.1% of women ages 15 years and over are married.48 (a) We randomly select three women between these ages. What is the probability that the third woman selected is the only one who is married? (b) What is the probability that all three randomly selected women are married? (c) On average, how many women would you expect to sample before selecting a married woman? What is the standard deviation? (d) If the proportion of married women was actually 30%, how many women would you expect to sample before selecting a married woman? What is the standard deviation? (e) Based on your answers to parts (c) and (d), how does decreasing the probability of an event aect the mean and standard deviation of the wait time until success?
ANSWER:Q:Married women. The 2010 American Community Survey estimates that 47.1% ofwomen ages 15 years and over are married.48 (a) We randomly select three womenbetween these ages. What is the probability that the third woman selected is the only onewho is married (b) What is the probability that all three randomly selected women aremarried (c) On average, how many women would you expect to sample before selecting amarried woman What is the standard deviation (d) If the proportion of married womenwas actually 30%, how many women would you expect to sample before selecting amarried woman What is the standard deviation (e) Based on your answers to parts (c)and (d), how does decreasing the probability of an event affect the mean and standarddeviation of the wait time until success Step By Step SolutionStep 1 of 6:Probability that the women of age 15 and above are married:p=0.471It follows a independent and identically distributed bernoulli random variable:The probability of first success in nth event is:Expected sample before getting first success is :Standard deviation: