Answered: What is the probability that this…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 7E

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Question

National Center for Education Statistics reported that public schools located in the USA had functioned in an average 6.6 hours per day in the year 2003-04 with a standard deviation of 0.00011 hours per day¹. Assume that number of hours per school day follows normal distribution.

Let’s randomly select a school located in the USA and collect the number of hours per day this school functions in a particular day.

What is the probability that this school functioned more than 7 hours per day?

[Remember: Please show graph and mark the area you have to find out in the graph. In addition, you should also show the formula to find the area.]

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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