Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible.
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible.
The mean of this distribution is
.
The standard deviation is
.
The
P
(
x
=
0.9
)
=
.
The probability that the wave will crash onto the beach between 0.3 and 0.7 seconds after the person arrives is
P
(
0.3
<
x
<
0.7
)
=
.
The probability that it will take longer than 2.1 seconds for the wave to crash onto the beach after the person arrives is
P
(
x
>
2.1
)
=
.
Suppose that the person has already been standing at the shoreline for 0.3 seconds without a wave crashing in. Find the probability that it will take between 1.8 and 3.7 seconds for the wave to crash onto the shoreline.
P
(
1.8
<
x
<
3.7
∣
x
>
0.3
)
=
.
91% of the time a person will wait at least how long before the wave crashes in?
seconds.
Find the minimum for the upper quarter.
seconds.
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