Compute Probabilities of Binomial Experiments

question 74

Multiple Choice

Compute Probabilities of Binomial Experiments
-A psychic network received telephone calls last year from over 1.5 million people. A recent article attempts to shed some light onto the credibility of the psychic network. One of the psychic network s psychics agreed to take part in the following experiment. Five different cards are shuffled, and one is chosen at random. The psychic will then try to identify which card was drawn without seeing it. Assume that the experiment was repeated 15 times and that the results of any two experiments are independent of one another. If we assume that the psychic is a fake (i.e., they are merely guessing at the cards and have no psychic powers) , find the probability that they guess at least three correctly.

• A) 0.601977
• B) 0.327654
• C) 0.250139
• D) 0.230897

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Definitions:

Controlled Processing

The mental activity that requires deliberate, conscious attention and effort, as opposed to automatic processes that require minimal awareness.

Social Loafing

The tendency of individuals to exert less effort on a task when working in a group compared to when working alone.

Contributions

Acts or offerings that aid in advancing a cause or improving a situation, often involving time, money, or effort towards a collective goal.

Identified

Something or someone that has been recognized and named as being a particular person or thing.