A study conducted by the Pew Research Center showed that 75% of 18–to 34-year-olds living with their parents say they contribute to household expenses (The Wall Street Journal, October 22, 2012). Suppose that a random sample of fifteen 18–to 34-year-olds living with their parents is selected and asked if they contribute to house-hold expenses.
a. Is the selection of the fifteen 18– to 34-year-olds living with their parents a binomial experiment? Explain.
b. If the sample shows that none of the fifteen 18–to 34-year-olds living with their parents contribute to household expenses, would you question the results of the Pew Research Study? Explain.
c. What is the probability that at least 10 of the fifteen 18–to 34-year-olds living with their parents contribute to household expenses?