Answer:
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Step-by-step explanation:
M = Undefined (because the line is perfectly vertical)
Answer:
The standard deviation for the number of bags that are underfilled is 2.236.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.
In this question:
Expected number of underfilled bags in a sample of n bags is:

1000 bags, so

Standard deviation 
The standard deviation for the number of bags that are underfilled is 2.236.
Work shown above! Answer above as well
Answer:
Nephew receive 1500.00
Older niece receive 1000.00
Younger niece receive 500.00
Step-by-step explanation:
Let assume a variable x,y,z for the niece, older niece and the nephew respectively.
Y= 2x (Twice the younger niece)
Z= x + y. (Sum of the two nieces)
Since y = 2x
Z = x+2x
Z= 3x
Therefore:
X = 1x
Y = 2x
Z = 3x
So the will will be shared among them in the ratio
Nephew : older niece : younger niece
3 : 2 : 1
Nephew. 3/6 x 3000 = 1500.00
Older niece 2/6 x 3000 = 1000.00
Younger niece 1/6 x 3000 = 500.00