An automated radar gun is placed on a road to record the speed of the cars passing by. The automated radar gun records 0.41% of the cars going more than 20 miles per hour above the speed limit. Assume the number of cars going more than 20 miles above the speed limit has a Poisson distribution. Answer the following for the Poisson distribution. The sample size is 300. The parameter l = ________________. Find the mean and variance for the Poison distribution. Mean: ________________ Variance: _________________ The probability is ___________________ that for 300 randomly chosen cars, more than 5 of these cars will be exceeding the speed limit by more than 20 miles per hour.

An automated radar gun is placed on a road to record the speed of the cars passing by. The automated radar gun records 0.41% of the cars going more than 20 miles per hour above the speed limit. Assume the number of cars going more than 20 miles above the speed limit has a Poisson distribution. Answer the following for the Poisson distribution. The sample size is 300. The parameter l = ________. Find the mean and variance for the Poison distribution. Mean: Variance: _ The probability is ___________ that for 300 randomly chosen cars, more than 5 of these cars will be exceeding the speed limit by more than 20 miles per hour.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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