In: Statistics and Probability
It is known that 20% of the computer engineering students use the library during the e"xam week. A random sample of 25 students (from computer engineering) is selected. Assume that studies at library are made independently, and let x represent number of students who studied in the library during the e"xam week.Important note: Show your work. Provide the expressions and your approach on answering the questions. Results without supporting work will not be credited.(a) What is the probability that exactly 4 students studied in the library? ______________(b) What is the probability that no more than 5 students studied in the library?______________(c) What is the probability that at least 3 students studied in the library?______________(d) What is the probability that between 2 and 7 students, inclusively, studied in the library?