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loraross77
24.10.2021 •
Chemistry
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Ответ:
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Explanation:
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Ответ:
Ответ:
2.28% of players are under 86kg
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 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.
The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg.
This means that![\mu = 98, \sigma = 6](/tpl/images/1206/5174/f3e7b.png)
What percentage of players are under 86kg?
The proportion is the pvalue of Z when X = 86. So
0.0228*100% = 2.28%
2.28% of players are under 86kg