Answered: e amount of time travellers at an…

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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Question

The amount of time travellers at an airport spend with customs officers has a mean of μ =34 seconds and a standard deviation of σ =11 seconds. For a random sample of 30 travellers, what is the probability that their mean time spent with customs officers will be:

Standard Normal Distribution Table

a. Over 30 seconds?

Round to four decimal places if necessary

b. Under 35 seconds?

Round to four decimal places if necessary

c. Under 30 seconds or over 35 seconds?

Round to four decimal places if necessary

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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