Answered: Suppose that one in six smartphone…

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

Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 218 smartphone users.

a-1. What is the expected value and the standard error of the sample proportion? (Round "Expected value" to 2 decimal places and "Standard error" to 4 decimal places.)

expected value=

standard error=

a-2. Is it appropriate to use the normal distribution approximation for the sample proportion?

multiple choice

Yes, because np ≥ 5 and n(1 - p) ≥ 5
Yes, because n ≥ 30
No, because np ≥ 5 and n(1 - p) ≥ 5
No, because n < 30

b. What is the probability that more than 18% of smartphone users in the sample have fallen prey to cyber-attack? (Round final answer to 2 decimal places.)

probability=

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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