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10 votes
10 votes
Set of data with 350,000 numbers is normally

stributed with a mean of 1,503 and a
andard deviation of 100. How many numbers
the data would you expect to be between
203 and 1,803?

User AlexZ
by
3.3k points

1 Answer

12 votes
12 votes

Explanation:

given a normal distribution with the given parameters the probability (= the % of the area of the distribution curve) for a number to be between 203 and 1803 is

0.9987

so, 99.87% of all numbers are expected to be in that range.

for 350,000 numbers that means

350,000×0.9987 = 349,545 numbers are expected to be between 203 and 1803.

User Son Pham
by
2.8k points