In this challenge, we go further with binomial distributions. We recommend reviewing the previous challenge's Tutorial before attempting this problem.
A manufacturer of metal pistons finds that, on average, of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of pistons will contain:
- No more than rejects?
- At least rejects?
A single line containing the following values (denoting the respective percentage of defective pistons and the size of the current batch of pistons):
If you do not wish to read this information from stdin, you can hard-code it into your program.
Print the answer to each question on its own line:
- The first line should contain the probability that a batch of pistons will contain no more than rejects.
- The second line should contain the probability that a batch of pistons will contain at least rejects.
Round both of your answers to a scale of decimal places (i.e., format).