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the mean length of adult Etheostoma caeruleum in a stream is 6.1 cm, and length distribution follows a nor- mal distribution with a standard deviation of 0.8 cm. What is the probability that the length of a randomly selected adult will be 5.2 cm or larger? (a) On the normal density curve to the right: put numbers on the X-axis for the mean and 5.2 cm; indicate the mean with an arrow; and shade in the area under the curve that contributes to the prob- ability that this question is asking for. (b) Calculate the probability. Length (cm) Probability density

the mean length of adult Etheostoma caeruleum in a stream is 6.1 cm, and length distribution follows a nor- mal distribution with a standard deviation of 0.8 cm. What is the probability that the length of a randomly selected adult will be 5.2 cm or larger? (a) On the normal density curve to the right: put numbers on the X-axis for the mean and 5.2 cm; indicate the mean with an arrow; and shade in the area under the curve that contributes to the prob- ability that this question is asking for. (b) Calculate the probability. Length (cm) Probability density

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The mean length of adult *Etheostoma caeruleum* in a stream is 6.1 cm, and length distribution follows a normal distribution with a standard deviation of 0.8 cm. What is the probability that the length of a randomly selected adult will be 5.2 cm or larger? (a) On the normal density curve to the right: put numbers on the X-axis for the mean and 5.2 cm; indicate the mean with an arrow; and shade in the area under the curve that contributes to the probability that this question is asking for. (b) Calculate the probability. **Explanation of the Diagram:** The diagram on the right is a normal distribution curve, which represents probability density. The horizontal axis is labeled “Length (cm),” and the vertical axis is labeled “Probability density.” The peak of the curve represents the mean of the distribution, which is 6.1 cm. The task involves marking 5.2 cm on the X-axis and shading the region from 5.2 cm to the right, indicating the portion of the distribution for which the probability is to be calculated.
Transcribed Image Text:The mean length of adult *Etheostoma caeruleum* in a stream is 6.1 cm, and length distribution follows a normal distribution with a standard deviation of 0.8 cm. What is the probability that the length of a randomly selected adult will be 5.2 cm or larger? (a) On the normal density curve to the right: put numbers on the X-axis for the mean and 5.2 cm; indicate the mean with an arrow; and shade in the area under the curve that contributes to the probability that this question is asking for. (b) Calculate the probability. **Explanation of the Diagram:** The diagram on the right is a normal distribution curve, which represents probability density. The horizontal axis is labeled “Length (cm),” and the vertical axis is labeled “Probability density.” The peak of the curve represents the mean of the distribution, which is 6.1 cm. The task involves marking 5.2 cm on the X-axis and shading the region from 5.2 cm to the right, indicating the portion of the distribution for which the probability is to be calculated.
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