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Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.
This means that
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. So
has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Answer:
Step-by-step explanation:
y=mx+b is the equation for a non-proportional relationship. Essentially, you can use this for a proportional relationship as well, since the y-intercept of a proportional relationship will always be zero. and
are the variables of the equation, and represent the coordinates of the line.
is the slope of the equation. To find the slope, use rise over run, or the change in y between two points over the change in x between two points. The last part is the y-intercept, or
. This shows when the line intercepts the y-axis.