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Answer:
95% of monsoon rainfall lies between 688 mm and 1016 mm.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 852 mm
Standard Deviation, σ = 82 mm
We are given that the distribution of monsoon rainfall is a bell shaped distribution that is a normal distribution.
68 ‑ 95 ‑ 99.7 rule
- Also known as Empirical rule.
- It states that all data lies within the three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of mean
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
We have to find the monsoon rains fall in the middle 95 % of all years.
By the rule 95% of data lies within two standard deviation of mean.Thus,
Thus, 95% of monsoon rainfall lies between 688 mm and 1016 mm.
