A distribution of service times at a waiting line indicates that service takes 12 minutes 30% of the time and 14 minutes 70% of the time. Prepare the probability distribution, the cumulative probability distribution, and the random number intervals for this problem.

Cumulative Probability Distribution

A function that gives the probability that a random variable is less than or equal to a certain value, often used in statistics to summarize data.

Random Number Intervals

A sequence of intervals generated by a random process, often used in simulations and statistical sampling.

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.