Answered: Every Mardi Gras, the NOPD sets up a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Every Mardi Gras, the NOPD sets up a checkpoint where they pull over random drivers for a Blood Alcohol Content (BAC) test. The BACs are not normally distributed, but the average BAC is 0.075 and the standard deviation is 0.02. The legal limit is 0.08. One particular day, the NOPD pulls over a random 40 people.

What is the probability that the *average* BAC for these 40 people is between 0.06 and 0.08? (Please round your answer to 3 decimal places: ex, 0.123)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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