The proportion of students who own cell phone upon college campuses across country has raised tremendously over the past few years. It is estimated that approximately only 10% of all students (nationwide) now DO NOT own cell phone. Fifteen students are to be selected at random from the large university. Suppose that the proportion of students who DO NOT own cell phone at this university is same as nationwide. Let X = the number of students in sample of 15 who DO NOT own a cell phone.
If it is true that only 10% of all students in university don't own a cell phone, determine the probability that NONE of the students in random sample of 15 students DO NOT own a cell phone?