According to the research, 46% of homes sold in certain month and year were purchased by first time buyers. A random sample of 185 people who just purchased homes is selected. Complete the following parts. a. Calculate the standard error. b. What is the probability that less than 87 of them are first-time buyers? c. What is the probability that more than 82 of them are are first-time buyers? d. What is the probability that between 75 and 79 of them are first time buyers? Show steps on how to get the