Assignment:
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities.
a) The probability that at most 7 minutes is taken to produce the part.
b) The probability that between 5 and 15 minutes are taken to produce the part.
c) The probability that at least 3 minutes is taken to produce the part.
Provide complete and step by step solution for the question and show calculations and use formulas.