Mutually Exclusive and Collectively Exhaustive Events ______________

question 2

Multiple Choice

Mutually exclusive and collectively exhaustive events ______________.

• A)Contain all outcomes in a sample space and may share common outcomes
• B)Contain all outcomes in a sample space and do not share common outcomes
• C)Do not have to contain all outcomes in a sample space but do not share common outcomes
• D)Do not have to contain all outcomes in a sample space and may share common outcomes

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Definitions:

Binomial Experiment

A statistical experiment that has two possible outcomes for each trial and a fixed number of trials, where each trial is independent of the others.

Probability

A numerical expression of an event's probability, with the scale going from 0, symbolizing that the event cannot occur, to 1, signifying guaranteed occurrence.

Probability of Failure

The likelihood or chance that a system or component will fail to perform its required function within a specified period under normal operating conditions.

Binomial Random Variable

A type of discrete random variable that counts how often a particular event occurs in a fixed number of trials.