Suppose That the Average Pop Song Length in America Is

question 25

Multiple Choice

Suppose that the average pop song length in America is 4 minutes with a standard deviation of 1.25 minutes. It is known that song length is not normally distributed. Suppose a sample of 25 songs is
Taken from the population. What is the approximate probability that the average song length will
Be less than 3.5 minutes? Round to the nearest thousandth.

• A) 0.345
• B) 0.477
• C) 0.023
• D) 0.155

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Definitions:

Posterior Probabilities

Revised probabilities of events based on additional information.

Independent Events

Two events A and B where P(A ∣ B) = P(A) or P(B ∣ A) = P(B); that is, the events have no influence on each other.

Probabilities

The quantification of an event's occurrence likelihood, represented as a figure from 0 to 1.

Intersection

The set that contains all elements that are common to two or more sets.