In a normal distribution with a mean of 72 and a standard deviation of 12: What percentage of cases will fall above 80? What is the probability that a randomly selected case falls between 60 and 68? What is the value of x at the 10th percentile? What percentage of observations fall below 90?

In a normal distribution with a mean of 72 and a standard deviation of 12: What percentage of cases will fall above 80? What is the probability that a randomly selected case falls between 60 and 68? What is the value of x at the 10th percentile? What percentage of observations fall below 90?

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 8E

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Question

In a normal distribution with a mean of 72 and a standard deviation of 12:

What percentage of cases will fall above 80?

What is the probability that a randomly selected case falls between 60 and 68?

What is the value of x at the 10th percentile?

What percentage of observations fall below 90?

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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