According to the research, 44% of homes sold in a certain month and year were purchased by rst-time buyers. A random sample of 185 people who just purchased homes is selected. Complete parts a through e below. a. Calculate the standard error of the proportion. op = 0.0365 (Round to four decimal places as needed.) b. What is the probability that less than 85 of them are rst-time buyers? P(Less than 85 of them are first-time buyers) = 0.7031' (Round to four decimal places as needed.) c. What is the probability that more than 89 of them are rst-time buyers? P(More than 89 of them are rst-time buyers) = (Round to four decimal places as needed.)