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The LCM of the given numbers have been determined.
<h3>What is LCM ?</h3>LCM stands for Least Common Multiple .
For two numbers , LCM is the number that is the smallest number of which they both are a factor.
It is asked to determine
LCM of 6 and 9
6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}
9 = { 9 , 18 ,27 .....}
The LCM of 6 , 9 is 18
LCM of 8 and 12
8 = { 8,16,24,32....}
12 = {12 , 24 ,36....}
The LCM of 8 and 12 is 24
LCM of 4 , 6 and 8
4 = {4 , 8 , 12 , 16 , 20,24,28 ....}
6 = { 6 ,12 ,18,24......}
8 = {8 , 16,24 .....}
The LCM of 4,6 and 8 is 24
The LCM of 6 and 15 is 30
The LCM of 20 and 30 is 60
The LCM of 25,30 and 75 is 150
The image of the solution is attached .
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Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7