Objective
In this challenge, we practice solving problems with normally distributed variables.
Task
In a certain plant, the time taken to assemble a car is a random variable having a normal distribution with a mean of hours and a standard deviation of hours. What is the probability that a car can be assembled at this plant in:
- Less than hours?
- Between and hours?
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 lines of floating point/decimal numbers.
Submit an R or Python program, which uses the above parameters (hard-coded), and computes the answer.
Your answer should resemble something like:
0.123
0.456
(This is NOT the answer, just a demonstration of the answering format.)