Objective
In this challenge, we practice solving problems based on the Central Limit Theorem.
Task
The number of tickets purchased by each student for the University X vs. University Y football game follows a distribution that has a mean of and a standard deviation of .
Suppose that a few hours before the game starts, there are eager students standing in line to purchase tickets. If there are only tickets left, what is the probability that all students will be able to purchase the tickets they want?
Output Format
Your output must be a floating point/decimal number, correct to a scale of decimal places. You can submit solutions in either of the following ways:
Solve the problem manually and submit your result as Plain Text. In the text box below, enter a single floating point/decimal number.
Submit an R or Python program, which uses the above parameters (hard-coded), and computes the answer.
Your answer should resemble something like:
0.1234
(This is NOT the answer, just a demonstration of the answering format.)