1-A contractor decided to build homes that will include themiddle 80% of the market. If the average size of homes built is1750 square feet, find the maximum and minimum sizes of the homesthe contractor should build. Assume that the standard deviation is96 square feet and the variable is normally distributed.
2-Determine the indicated probability for a binomial experimentwith the given number of trials n and the given success probabilityp. n = 13, p = 0.7, P(Fewer than 4)
3-A student takes a 5 question multiple choice quiz with 4choices for each question. If the student guesses at random on eachquestion, what is the probability that the student gets exactly 2questions correct?
4- An investor is considering a $15,000 investment in a start-upcompany. She estimates that she has probability 0.15 of a $10,000loss, probability 0.1 of a $10,000 profit, probability 0.3 of a$30,000 profit, and probability 0.45 of breaking even (a profit of$0). What is the expected value of the profit? $11,500 $15,250$10,000 $8,500
