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jaimes04
24.07.2019 •
Mathematics
The time spent waiting in the line is approximately normally distributed. the mean waiting time is 6 minutes and the standard deviation of the waiting time is 2 minutes. find the probability that a person will wait for more than 4 minutes.
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Ответ:
0.034
Step-by-step explanation:
Data:
Let the standard deviation be :![\sigma = 2](/tpl/images/0128/5114/c1644.png)
The mean be:![\mu = 6](/tpl/images/0128/5114/a06d8.png)
Therefore, P (x>4) which is the probability that a person will wait for more than 4 minutes is given by:
=![\frac{4-6}{2} \\= -1](/tpl/images/0128/5114/0445e.png)
Therefore,
P(x > 4) = P (z > -1)
= P (z < -1)
From the z-tables, we find 0.034
Ответ:
The exact area of the sector in terms of π is:
24π in²
Step-by-step explanation:
The area of a sector of a circle is given by:
where r is the radius of the circle and
is the central angle of the sector
Here r=12 in.
and
=60°
Area of sector=