Answered: Suppose that one in six smartphone…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 224 smartphone users.

What is the probability that more than 23% of smartphone users in the sample have fallen prey to cyber-attack?

Is it appropriate to use the normal distribution approximation for the sample proportion?

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

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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