A corporation reported profits of approximately $600 million with approximately $11 million in revenues. Compare the profit to
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Answer:
(a) The probability of the event (<em>X</em> > 84) is 0.007.
(b) The probability of the event (<em>X</em> < 64) is 0.483.
Step-by-step explanation:
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.
The probability mass function of a Poisson distribution is:
(a)
Compute the probability of the event (<em>X</em> > 84) as follows:
P (X > 84) = 1 - P (X ≤ 84)
Thus, the probability of the event (<em>X</em> > 84) is 0.007.
(b)
Compute the probability of the event (<em>X</em> < 64) as follows:
P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)
Thus, the probability of the event (<em>X</em> < 64) is 0.483.
Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
Where r is the radius and h is the height.
Volume of a cube is:
Where a is side length of cube.
It is also written as:
Where l is length, w is width, h is height and .
Volume of a cone is:
Where r is the radius and h is the height.
Volume of a pyramid is:
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder
Cube
Cone
Pyramid