Question

The time that it takes for the next train to comes follows a Uniform Distribution with f(x) = 1/10 where x goes between 6 and 16 minutes. Round answers to 4 decimals when possible.

1. Find the probability that the time will be at most 7 minutes.

2. Find the 10th percentile.

Answer #1

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The time (in minutes) until the next bus departs a major bus
depot follows a distribution with
f(x) =
1
20
where x goes from 25 to 45 minutes.
Part 1: Find the probability that the time is at most 35
minutes. (Enter your answer as a fraction.)Sketch and label a graph
of the distribution. Shade the area of interest. Write the answer
in a probability statement. (Enter exact numbers as integers,
fractions, or decimals.)
The probability of a waiting...

The time (in minutes) until the next bus departs a major bus
depot follows a uniform distribution from 28 to 46 minutes. Let
X denote the time until the next bus
departs.
The distribution is (pick one)
PoissonNormalExponentialUniform and is (pick one)
discretecontinuous .
The mean of the distribution is
μ= .
The standard deviation of the distribution is
σ= .
The probability that the time until the next bus departs is
between 30 and 40 minutes is
P(30<X<40)= .
Ninety percent of...

A
subway train on the Red Line arrives every 12 minutes during rush
hour. We are interested in the length of time a commuter must wait
for a train to arrive. The time follows a unifrom distribution.
A) give the distribution of X
B) graph the probability distribution
C) F(x) = ____ , where ___ < x ___
D) μ =
E) σ =
F) find the probability that a commuter waits less than 1
minutes
G) find the probability...

A bus comes by every 9 minutes. The times from when a person
arives at the busstop until the bus arrives follows a Uniform
distribution from 0 to 9 minutes. A person arrives at the bus stop
at a randomly selected time. Round to 4 decimal places where
possible.
a. The mean of this distribution is...
b. The standard deviation is...
c. The probability that the person will wait more than 3 minutes
is...
d. Suppose that the person has...

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...

#1 Suppose a random variable X follows a uniform distribution
with minimum 10 and maximum 50. What is the probability that X
takes a value greater than 35? Please enter your answer rounded to
4 decimal places.
#2 Suppose X follows an exponential distribution with rate
parameter 1/10. What is the probability that X takes a value less
than 8? Please enter your answer rounded to 4 decimal places.
#3 Suppose the amount of time a repair agent requires to...

The time it takes to completely tune an engine of an
automobile follows an exponential distribution with a mean of 48
minutes. (Total: 4 marks; 2 marks each)
a. What is the probability of tuning an engine in 36 minutes
or less?
b. What is the probability of tuning an engine between 24 and
36 minutes?

Assume we are interested in the time it takes to complete a
memory task for a dementia screening test. This distribution of
this timing follows a normal distribution with a mean of 15 minutes
and variance of 4 minutes.
What is the probability that a randomly selected participant’s
time is longer than 7 minutes?
1-p<7
7-15/2 = 1-0.5 = 0.5
What is the probability that that same
participant’s time is between 16 and 17 minutes?
What is the probability of...

The time it takes to preform a task has a continuous uniform
distribution between 43 min and 57 min. What is the the probability
it takes between 47.6 and 54.7 min. Round to 4 decimal
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P(47.6 < X < 54.7) =

Let's say that the length of time that it takes to fill a
prescription at CVS can be shown with a uniform distribution of the
intervals from 5 to 25 minutes. What is the probability that it
takes between 15 and 20 minutes to fill the next
prescription?

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