On the Average, 6

question 76

Essay

On the average, 6.7 cars arrive at the drive-up window of a bank every hour. Define the random variable X to be the number of cars arriving in any hour.
a.What is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution.
b.Compute the probability that exactly 5 cars will arrive in the next hour.
c.Compute the probability that no more than 5 cars will arrive in the next hour.

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Definitions:

1-Bromopentane

An organobromine compound consisting of a five-carbon alkane with a bromine atom attached to the primary carbon.

Di-sec-Butyl Ether

An organic compound formed by the dehydration reaction between two sec-butyl alcohol molecules, resulting in an ether with a dialkyl structure.

Sec-Butanol

A secondary alcohol with the chemical formula C4H10O, where the hydroxyl group is connected to the second carbon in a butane chain.

Sulfuric Acid

A highly corrosive strong mineral acid with the molecular formula H2SO4, widely used in industry for processes including fertilizer manufacturing, oil refining, and wastewater processing.