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please type solutions in python

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please type solutions in python
Answered Same Day Sep 20, 2022

Solution

Baljit answered on Sep 21 2022
60 Votes
1.
Code:-
import numpy as np
import matplotlib.pyplot as pt
number=[1,5,10,20]
means=[]
for j in number:
np.random.seed(1)
X=[np.mean(np.random.uniform(0,1,j) ) for i in range(10000)]
means.append(X)
a=0
sbpt,axis=pt.subplots(2,2,figsize=(10,10))
for i in range(0,2):
for j in range(0,2):
axis[i,j].hist(means[a],10,density=True)
axis[i,j].set_title(label=number[a])
a+=1
pt.show()
Justification:-Now according to central limit theorem mean of samples drawn distributed population have normal distribution.Now we can see from the Histogram.Means of samples are normally distributed.Normal distribution of means of samples increased with increase in...
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