Reference no: EM133046656
a. The Ministry of Education Help Hot Line receives, on average, 10 calls per minute about eLearning related issues. The highest number of calls received in any minute is 15. For any randomly selected minute, find the probability that the Education Ministry will receive:
i. At most 4 calls
ii. 7 to 9 calls
iii. Find the Mean, Variance and Standard Deviation of the distribution
b. Without the use of a calculator, illustrate an example of how the value of a factorial of a number greater than 9 is determined.
c. At the CCU, a student id consists of two letters (26 possibilities) followed by four digits (10 possibilities).
(i) How many unique student ID's can be created?
(ii) Would a student id consisting of one letter followed by three digits suffice for a university with 40,000 students?
(iii) Why is extra capacity in student IDs a good idea?
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