Use the Poisson Model to Approximate the Probability

question 174

Multiple Choice

Use the Poisson model to approximate the probability. Round your answer to four decimal places.
-The probability that a car will have a flat tire while driving through a certain tunnel is 0.00004. Use the Poisson distribution to approximate the probability that among 7000 cars passing through this tunnel, at least one will
Have a flat tire.

• A) 0.7558
• B) 0.2116
• C) 0.7884
• D) 0.3126
• E) 0.2442

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Definitions:

Area

In statistics, often refers to the region under the curve of a probability distribution representing the probability of a range of outcomes.

Variance

An indication of how data points diverge from their average, showing the extent of their spread.

Normally Distributed

Describes a distribution that follows a bell curve, where data is symmetrically distributed with most values clustering around a central point.

Normally Distributed

Describes a statistical distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.