Orders come into a pizza place by phone are either for cheese or pepperoni pizza. The time to process and cook a cheese pizza is an exponential random variable with expected value 3 minutes, while the time to process and cook a pepperoni pizza is an exponential random variable with expected value 10 minutes. An order is for a cheese with probability 0.8, or for pepperoni with probability 0.2. The status of orders and processing times are independent across all orders. Define X as the processing time of the next order.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Orders come into a pizza place by phone are either for cheese or pepperoni pizza. The time to process and cook a cheese pizza is an exponential random variable with
Define X as the processing time of the next order.
(a) Find P[X > 4]
(b) Find E[X]
(c) Find Var(X)
Step by step
Solved in 4 steps
