Objective
In this challenge, we practice solving problems based on the Central Limit Theorem.
Task
A large elevator can transport a maximum of pounds. Suppose a load of cargo containing boxes must be transported via the elevator. The box weight of this type of cargo follows a distribution with a mean of pounds and a standard deviation of pounds. Based on this information, what is the probability that all boxes can be safely loaded onto the freight elevator and transported?
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.)