Sam Is a Trucker and Believes That for Every 60

question 4

Essay

Sam is a trucker and believes that for every 60 miles he drives on the freeway in Indiana, there is an average of two state troopers checking his speed with a radar gun.
A) What is the probability that at least one trooper is checking his speed on a randomly selected 60-mile stretch?
B) What is the probability that exactly three troopers are checking his speed on a randomly selected 60-mile stretch?
C) Sam drives 240 miles a day. What is the average number of state troopers who check his speed on a given day?
D) Sam drives 240 miles a day. What is the probability that exactly five troopers check Sam's speed on a randomly selected day?

• A) What is the probability that at least one trooper is checking his speed on a randomly selected 60-mile stretch?
• B) What is the probability that exactly three troopers are checking his speed on a randomly selected 60-mile stretch?
• C) Sam drives 240 miles a day. What is the average number of state troopers who check his speed on a given day?
• D) Sam drives 240 miles a day. What is the probability that exactly five troopers check Sam's speed on a randomly selected day?

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Definitions:

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or to a system without violating any constraints.

Estimate

A rough calculation or judgment of the value, number, quantity, or extent of something.

Mean Difference

The average difference between two sets of data, often used to compare the mean values of two samples or measurements.

Matched Pairs

A study design in which each subject is paired with a similar subject, usually to control for certain variables.