(Solved): Use the information below for this question and the HOMES questions that follow. A survey showed t ...

Use the information below for this question and the HOMES questions that follow. A survey showed that \( 59 \% \) of US homes are owned by the current residents. Let \( X= \) the number of homes owned by the current residents among 30 randomly selected homes. We can consider \( X \) to be Binomially distributed because: \( \sim \) there are a fixed number of trials, \( n= \) - each trial consists of randomly selecting a/an there are only two possible outcomes, and - the probability of success is the same for all trials, \( p= \) - the trials are independent because we may assume that home ownership is independently determined for each home