A Jug Contains 5 Black Marbles and 5 White Marbles

question 146

True/False

A jug contains 5 black marbles and 5 white marbles well mixed.A marble is removed and its color noted.A second marble is removed,without replacing the first marble,and its color is also noted.If X is the total number of black marbles in the two draws,then X has a binomial distribution.

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Definitions:

Binomial Experiment

A statistical experiment that satisfies four conditions: a fixed number of trials, only two possible outcomes, independence of trials, and a constant probability of success.

Independent Trials

Experiments or trials in which the outcome of one trial does not affect the outcome of any other trials.

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.