The total snowfall per year in Laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. Based o
1 answer:
Answer: Required probability is 0.9772.
Step-by-step explanation:
Since we have given that
Mean = 99 inches
Standard deviation = 14 inches
It is normally distributed.
We need to find the probability that in a randomly selected year, the snowfall was less than 127 inches.
As we know that
So, it becomes,
Hence, required probability is 0.9772.
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we have
the solution is the interval -------> (3,∞)
therefore
the answer in the attached figure
The sum of the given series can be found by simplification of the number
of terms in the series.
- A is approximately <u>2020.022</u>
Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
Therefore, for the last term we have;
2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
Which gives;
- A ≈ <u>2020.022</u>
Learn more about the sum of a series here: