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Answer :
The percentage of cities with pollution index between 13.0 and 58.5 is 95%
Given that :
Mean = 35.9
Mean = 35.9Standard deviation = 11.6
The percentage of of the cities with pollution index between 13.0 and 58.5 points can be calculated thus :
Calculate the Zscore of both pollution index given :
Zscore = (x - mean) / standard deviation
x = raw score
For x = 13.0
Zscore = (13 - 35.9) / 11.6
Zscore = - 1.974
P(Z < - 1.974) = 0.024191
For x = 58.5
Zscore = (58.5 - 35.9) / 11.6
Zscore = - 1.948
P(Z < - 1.948) = 0.97429
The percentage of cities with pollution index between 13.0 and 58.5 :
P(Z < 1.948) - P(Z < - 1.974)
0.97429 - 0.024191 = 0.9500
0.9500 × 100 = 95%
Hence, The percentage of cities with pollution index between 13.0 and 58.5 is 95%
Learn more : Zscore : https://brainly.com/question/8165716
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