1. (22 points) A musical equipment rental company is hired to supply guitars for a local guitar-learning class. The class has fourteen students so the rental company will supply fourteen guitars in total, one for each student. On the application, each student must indicate whether they require a left-handed guitar or a right-handed guitar; there is no option for either, and there is no option for neither. Suppose that the probability a student will require a left-handed guitar is 0.1. (a) Of the fourteen students enrolled, what is the probability that i. no student will require a left-handed guitar? ii. at least one student will require a left-handed guitar? iii. at most thirteen students will require a right-handed guitar? (b) To give the rental company an estimate of how many left-handed guitars to reserve for the local guitar- learning class, what is the expected number of students that will require a left-handed guitar?