Use the Normal Distribution to Approximate the Desired Probability

question 253

Multiple Choice

Use the normal distribution to approximate the desired probability.
-Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time. Find the probability that among the 60 trains, 38 or fewer arrive on time. Based on the result,
Does it seem plausible that the "on-time" rate of 74% could be correct?

• A) 0.0316, no
• B) 0.0409, yes
• C) 0.0316, yes
• D) 0.0409, no

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Definitions:

Person-Centered Theory

A psychological perspective that emphasizes the importance of the individual's subjective experience and the inherent tendency toward growth and fulfillment.

Fixation

An obsessive focus or attachment to an individual, object, or concept, often at the expense of a more diverse range of interests or activities.

Pleasure-Seeking

Pleasure-seeking involves pursuing activities or experiences that provide sensory satisfaction or enjoyment, often driven by biological and psychological needs.

Projection

A defense mechanism where individuals attribute their own unacceptable thoughts, feelings, or motives to another person.