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The Probability That a Car Will Have a Flat Tire

question 194

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The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution to approximate the probability that among 14,000 cars passing through this tunnel, exactly two will
Have a flat tire. Round your answer to four decimal places.


Definitions:

Alternative Hypothesis

A statement in hypothesis testing that proposes there is a statistically significant difference or effect, in contrast to the null hypothesis.

Chi-square Test

A statistical assessment designed to ascertain whether a notable relationship exists between two variables of categorical nature.

Association

A relationship or connection between two or more variables, where changes in one variable may be related to changes in another, though not necessarily causally.

Row Variable

In data analysis, a row variable refers to a variable that is represented by rows in a matrix or table format, distinguishing different observational units.

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