Question

The amount of time, in minutes, that a person must wait for a
taxi is uniformly distributed between 1 and 30 minutes,
inclusive.

1.Find P(x<10 | x<22).

2.Find the 60th percentile.

Answer #1

Let X be the amount of time, in minutes, that a person must wait for a taxi. X is uniformly distributed between a=1 and b=30 minutes, inclusive.

the probability density fucntion (pdf) of X is

The cumulative distribution fucntion (cdf) of X is

1.Find P(x<10 | x<22).

**ans:** P(x<10 | x<22) = 3/7 (or 0.4286)

2.Find the 60th percentile.

Let q be the 60th percentile. That is, 60% of the observations are below q. This means that the probability of X<q is 0.60

**ans:** The 60th percentile is 18.4

The amount of time, in minutes, that a person must wait for a
taxi is uniformly distributed between 1 and 30 minutes,
inclusive.
1.Find the probability density function, f(x).
2.Find the mean.
3.Find the standard deviation.
4.What is the probability that a person waits fewer than 5
minutes.
5.What is the probability that a person waits more than 21
minutes.
6.What is the probability that a person waits exactly 5
minutes.
7.What is the probability that a person waits between...

The amount of time, in minutes, that a person must wait for a
bus is uniformly distributed between zero and 20 minutes,
inclusive.
What is the probability that a person waits fewer than 13.5
minutes?
On the average, how long must a person wait? Find the mean, μ,
and the standard deviation, σ.
Find the 40th percentile. Draw a graph.

The amount of time, in minutes, that a person must wait
for a bus is uniformly distributed between 0 and 15 minutes,
inclusive.
1. What is the average time a person must wait for a
bus?
2. What is the probability that a person waits 12.5
minutes or less?

assume that the amount of time (x), in minutes that a person must
wait for a bus is uniformly distributed between 0 & 20 min.
a) find the mathematical expression for the probability
distribution and draw a diagram. assume that the waiting time is
randomly selected from the above interval
b) find the probability that a eprson wait elss than 15
min.
c) find the probability that a person waits between 5-10
min.
d) find the probability the waiting time...

Suppose the wait time for dino nuggets to be microwaved is
uniformly distributed from 5 minutes to 12 minutes.
(a) Is the wait time for dino nuggets to be done in the
microwave a discrete or a continuous random variable?
(b) What is the probability we have to wait between 8 to 10
minutes for the nuggets to be done?
(c) what is the probability that we have to wait exactly 6
minutes?
I'm having a hard time understanding how...

Suppose the wait time for bus is uniformly distributed from 0 to
20 minutes.
If you look at the average wait times for 50 person samples,
what type of distribution would the sample means follow
approximately?
What would be the mean of the sample means?
What would be the standard deviation of the sample
means?

Suppose the mean wait time for a bus is 30 minutes and the
standard deviation is 10 minutes. Take a sample of size n =
100.
Find the 85th percentile for the sum of the 100 wait times.

1. Assume the waiting time at the BMV is uniformly distributed
from 10 to 60 minutes, i.e. X ∼ U ( 10 , 60 )X ∼ U ( 10 , 60 )
What is the expected time waited (mean), and standard deviation
for the above uniform variable?
1B) What is the probability that a person at the BMV waits
longer than 45 minutes?
1C) What is the probability that an individual waits between 15
and 20 minutes, OR 35 and...

You have reasons to believe that your plane will arrive at a
time that is uniformly distributed between 10:30 and 10:50. By
10:37, you’re still waiting for the plane.
a. What is the probability that you will have to wait at least
another 5 minutes for the plane? Hint: Draw the graph (with the x
and y axis labeled) and find the area being described.
b. Find the mean and standard deviation of the situation
described above.

The amount of time in minutes that it took to complete a
grocery store checkout for a sample of 5 transactions is shown
below:
Checkout time- 2, 11, 1, 6, 5
Compute the 60th percentile. What does this value mean?
What is the variance?
what is standard deviation?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 13 minutes ago

asked 15 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago