Suppose that 30% of all homes purchased in 2018 were considered investment properties. If a sample of 1000 homes sold in 2018 is obtained: a) Describe the 3 main components of the distribution of sample proportions (the mean, the standard deviation and the shape). b) Would it be unusual if more than 320 homes were purchased as investment properties? Hint: you need to find p-hat first.

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)