In this challenge, we learn about normal distributions. Check out the Tutorial tab for learning materials!
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?
There are lines of input (shown below):
20 2 19.5 20 22
The first line contains space-separated values denoting the respective mean and standard deviation for . The second line contains the number associated with question . The third line contains space-separated values describing the respective lower and upper range boundaries for question .
If you do not wish to read this information from stdin, you can hard-code it into your program.
There are two lines of output. Your answers must be rounded to a scale of decimal places (i.e., format):
- On the first line, print the answer to question (i.e., the probability that a car can be assembled in less than hours).
- On the second line, print the answer to question (i.e., the probability that a car can be assembled in between to hours).