Question

Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.4 seconds. Round to 4 decimal places where possible. e. The probability that it will take longer than 1.58 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.58) = f. Suppose that the person has already been standing at the shoreline for 0.9 seconds without a wave crashing in. Find the probability that it will take between 1.5 and 3 seconds for the wave to crash onto the shoreline. g. The longest 42% percent of the time a person will wait before the wave crashes is at least how long? seconds. h. nd the minimum for the upper quartile. seconds. ??

Answer #1

Let X be the time until a crashing wave is observed. T ~ Unif(0, 4.4)

e.

P(X > 1.58) = (4.4 - 1.58) / (4.4 - 0) = 0.6409091

f.

P(1.5 < X < 3 | X > 0.9) = P(1.5 < X < 3 and X > 0.9) / P(X > 0.9)

= P(1.5 < X < 3) / P(X > 0.9)

= [(3 - 1.5)/(4.4 - 0)] / [(4.4 - 0.9) / (4.4 - 0)]

= 1.5 / 3.5

= 0.4285714

g.

P(X > x) = 0.42

(4.4 - x)/(4.4 - 0) = 0.42

4.4 - x = 0.42 * 4.4

x = 4.4 - 1.848 = 2.552 seconds

h.

For upper quartile, Q3

P(X < x) = 0.75

(x - 0) / (4.4 - 0) = 0.75

x = 0.75 * 4.4 = 3.3 seconds

Today, the waves are crashing onto the beach every 6 seconds.
The times from when a person arrives at the shoreline until a
crashing wave is observed follows a Uniform distribution from 0 to
6 seconds. Round to 4 decimal places where possible. a. The mean of
this distribution is b. The standard deviation is c. The
probability that wave will crash onto the beach exactly 3.3 seconds
after the person arrives is P(x = 3.3) = d. The probability...

Today, the waves are crashing onto the beach every 5.3 seconds.
The times from when a person arrives at the shoreline until a
crashing wave is observed follows a Uniform distribution from 0 to
5.3 seconds. Round to 4 decimal places where possible.
The mean of this distribution is_______
The standard deviation is_______
The probability that wave will crash onto the beach exactly 2.4
seconds after the person arrives is P(x = 2.4) =
_______
The probability that the wave...

Today, the waves are crashing onto the beach every 5.3 seconds.
The times from when a person arrives at the shoreline until a
crashing wave is observed follows a Uniform distribution from 0 to
5.3 seconds. Round to 4 decimal places where possible.
The standard deviation is ______ it is not (1.529) the mean is
2.65
The probability that it will take longer than 3.66 seconds for
the wave to crash onto the beach after the person arrives is
P(x...

1)Today, the waves are crashing onto the beach every 5.6
seconds. The times from when a person arrives at the shoreline
until a crashing wave is observed follows a Uniform distribution
from 0 to 5.6 seconds. Round to 4 decimal places where
possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability that wave will crash onto the beach exactly
0.4 seconds after the person arrives is P(x = 0.4)
=
d. The probability...

A bus comes by every 11 minutes. The times from when a person
arives at the busstop until the bus arrives follows a Uniform
distribution from 0 to 11 minutes. A person arrives at the bus stop
at a randomly selected time. Round to 4 decimal places where
possible. The mean of this distribution is 5.50 Correct The
standard deviation is 3.1754 Correct The probability that the
person will wait more than 4 minutes is 0.6364 Correct Suppose that
the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 40 seconds ago

asked 7 minutes ago

asked 9 minutes ago

asked 14 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 37 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 43 minutes ago