Answer:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:


Answer:
12
Step-by-step explanation:
Convert 75% into a fraction:
.75
Then multiply .75 by 16.
<em>Hence, </em><em>the answer is 12.</em>
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-20.40 divided by 4 equals 5.1
Answer:
c). y + x = 0
Step-by-step explanation:
The locus is a line perpendicular to the line connecting the 2 points and passing through the centre of the line.
The mid-point of the line connecting the given points is:
(a + b + a - b)/2 , (a - b + a + b) / 2
= (a, a)
It's slope = (a + b)- (a - b) / (a - b)- (a + b)
= 2b/ -2b
= -1
So the slope of the line we want is -1/(-1) = 1.
Using the point-slope form of a line:
y - y1 = m(x - x1)
y - a = 1(x - a)
y - a = x - a
x + y = 0