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DS-1000 / 428 / Say, I have an array:

Problem

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Problem:
Say, I have an array:
import numpy as np
a = np.array([0, 1, 2, 5, 6, 7, 8, 8, 8, 10, 29, 32, 45])
How can I calculate the 3rd standard deviation for it, so I could get the value of +3sigma ?
What I want is a tuple containing the start and end of the 3rd standard deviation interval, i.e., (μ-3σ, μ+3σ).Thank you in advance.
A:
<code>
import numpy as np
a = np.array([0, 1, 2, 5, 6, 7, 8, 8, 8, 10, 29, 32, 45])
</code>
result = ... # put solution in this variable
BEGIN SOLUTION
<code>

library

Numpy

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Source and history

upstream_id / Original problem ID
428
task_id
11d61883-6096-5fb5-92c1-8f88f6387b59
task_key
default--test--428
task_revision_id
1
config / split
default / test

Official source

initial import