Answered: The number of people who dine at…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...

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Question

The number of people who dine at restaurants in Buffalo is normally distributed with a µ = 30 people and = 3 people. (Report both the z-scores and probability)

What is the probability that the mean of 7 restaurants will have between 21 and 32 people dining there?

z₁ = z₂ = p(21 > M > 32) =

What is the probability that the mean of 13 restaurants will have less than 21 people dining there?

z = p(M < 21)=

Is the p=0 when the z score is extreme like -10 or 10?

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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