The sum could be greater than 1 but not equal to 1.
The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI *
<span>
<span>
<span>
196
</span>
</span>
</span>
area =
<span>
<span>
<span>
615.7521601036
</span>
</span>
</span>
square feet
The volume of the cylinder would be:
282.74
Same strategy as before: transform <em>X</em> ∼ Normal(76.0, 12.5) to <em>Z</em> ∼ Normal(0, 1) via
<em>Z</em> = (<em>X</em> - <em>µ</em>) / <em>σ</em> ↔ <em>X</em> = <em>µ</em> + <em>σ</em> <em>Z</em>
where <em>µ</em> is the mean and <em>σ</em> is the standard deviation of <em>X</em>.
P(<em>X</em> < 79) = P((<em>X</em> - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(<em>Z</em> < 0.24)
… ≈ 0.5948
Don’t Identify- 278.98
Female- 450.66
Male- 343.36
Considering these are people, you probably will need to round either up or down. If you round it would be:
Don’t Identify- 279
Female- 451
Male- 343
