Answered: The number of daily hits at the website…

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 number of daily hits at the website of a travel agency is normally distributed with a mean of 500 hits, and a standard deviation of 48 hits.

A) What is the probability that the number of daily hits of a randomly chosen day is less than 514 hits?

Answer:
(Round your answer to 4 decimal places).

Now, consider the average daily hits ?⎯⎯⎯ of 16 randomly chosen days, and use the Central Limit Theorem to answer each of the following questions.

B) The mean of the sampling distribution of ?⎯⎯⎯ is ??¯ =
.

C) The standard deviation of the sampling distribution of ?⎯⎯⎯ is ??¯ =
(Round your answer to 2 decimal places).

D)What is the probability that the average daily hits of 16 randomly chosen days is less than 514 hits?

Answer:
(Round your answer to 4 decimal places).

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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