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emmina
24.03.2020 •
Mathematics
Whe weights of United States pennies are distributed approximently normal with a mean of 2.5 grams and a standard deviation of .03 grams. What is the propability that a randmoly chosen penny weighs less than 2.49 grams
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Ответ:
37.07% probability that a randmoly chosen penny weighs less than 2.49 grams
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randmoly chosen penny weighs less than 2.49 grams
This is the pvalue of Z when X = 2.49. So
37.07% probability that a randmoly chosen penny weighs less than 2.49 grams
Ответ:
R=D/T
130 = r x 11.75
R=130/11.75=11.06
11.06 MPH