DHL has found that 50% of its regular clients are situated in a foreign country. A sample of 175 regular clients is randomly selected. Assuming normal distribution: What is the probability that less than 50% of the clients in the sample are situated in a foreign country

DHL has found that 50% of its regular clients are situated in a foreign country. A sample of 175 regular clients is randomly selected. Assuming normal distribution: What is the probability that less than 50% of the clients in the sample are situated in a foreign country

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

DHL has found that 50% of its regular clients are situated in a foreign country. A sample of 175 regular clients is randomly selected. Assuming normal distribution:

What is the probability that less than 50% of the clients in the sample are situated in a foreign country? Interpret your answer.

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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