Question

A process is characterized by the following: (1) Only two mutually exclusive possible outcomes are possible in each trial, or observation (which are called success and failure). (2) The outcomes in the series of trials, or observations, constitute independent events. (3) The probability of success in each trial, denoted by p, remains constant from trial to trial, so that the process is stationary. This process describes a _______ experiment.

1) Rigatoni
2) Spaghetti
3)arbonara
4) Bernoulli

Answer 1

The experiment characterized by having two possible outcomes in each trial, a constant probability of success, and independence between trials is a Bernoulli experiment, which is answer option 4.

Step-by-step explanation:

The process described by the student is a Bernoulli experiment. This type of experiment is characterized by having only two mutually exclusive outcomes in each trial, known as success and failure, the probability of success (p) is constant in each trial, and each trial is an independent event. The correct answer is option (4) Bernoulli. A Bernoulli trial is a special case of a binomial experiment with n = 1. If there are multiple Bernoulli trials, and we count the number of successes among these trials, we are dealing with a binomial experiment. Both types of experiments can be used to model different kinds of statistical problems.