Question

Two turtles are racing. Turtle A’s time is exponentially distributed with mean 2 minutes. Turtle B’s time is exponentially distributed with mean 3 minutes. Assume that their times are independent.

a) What is the probability that turtle A wins?

b) What is the expected time of the winner? What is its variance?
c) What is the pdf of the time difference between the loser and the
winner (by how much the faster turtle wins)?

Answer #1

The number of minutes between successive bus arrivals at
John's bus stop is exponentially distributed with unknown parameter
.
John's prior information regarding (real
valued, i.e., a continuous random variable) can be summarized as a
continuous uniform PDF in the range from 0 to 0.63.
John has recorded his bus waiting times
for four days. These are 12, 8, 26 and 23 minutes. Assume that
John's bus waiting times in different days are
independent.
Compute the MAP (maximum a posteriori probability)...

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Mehmet's bus stop is exponentially distributed with unknown
parameter .
Mehmet's prior information regarding (real
valued, i.e., a continuous random variable) can be summarized as a
continuous uniform PDF in the range from 0 to 0.63.
Mehmet has recorded his bus waiting
times for four days. These are 12, 8, 26 and 23 minutes. Assume
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independent.
Compute the MAP (maximum a posteriori probability)...

Time T to complete a quiz in class is uniformly distributed from
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Graph of pdf f(t) What is the probability that a randomly
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to 14 minutes? (d) Find the mean time µT = (e) Find the variance σ
2 T =

The time between failures for an appliances is exponentially
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Report answer to 4 decimal places

The length of time necessary to tune up a car (X) is
exponentially distributed with a mean of half and hour. Three cars
are waiting for a tune up. Assume that service is done one car at a
time and that service time are independent.
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time to work is 25.8 minutes.
https://deepblue.lib.umich.edu/bitstream/handle/2027.42/112057/103196.pdf?sequence=1&isAllowed=y.
The longest one-way travel time is in New York City, where the mean
time is 37.7 minutes. Assume the distribution of travel times in
New York City follows the normal probability distribution and the
standard deviation is 6.7 minutes.
What percent of the New York City commutes are for less than 27
minutes? (Round your intermediate calculations and
final answer to 2 decimal...

Among the thirty largest U.S. cities, the mean one-way commute
time to work is 25.8 minutes.
https://deepblue.lib.umich.edu/bitstream/handle/2027.42/112057/103196.pdf?sequence=1&isAllowed=y.
The longest one-way travel time is in New York City, where the mean
time is 38.2 minutes. Assume the distribution of travel times in
New York City follows the normal probability distribution and the
standard deviation is 7.0 minutes.
What percent of the New York City commutes are for less than 28
minutes? (Round your intermediate calculations and
final answer to 2 decimal...

Among the thirty largest U.S. cities, the mean one-way commute
time to work is 25.8 minutes. The longest one-way travel time is in
New York City, where the mean time is 37.9 minutes. Assume the
distribution of travel times in New York City follows the normal
probability distribution and the standard deviation is 6.9
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What percent of the New York City commutes are for less than 29
minutes?
What percent are between 29 and 35 minutes?
What percent are...

The time, in minutes spent texting in class, is approximately
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1.6 minutes.
The distance, in city blocks, that a student must travel to get
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1) What is the probability that the average time spent texting
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Solve this problem using excel: Delta Airlines quotes a flight
time of 2 hours, 5 minutes for itsflights from Cincinnati to Tampa.
Suppose we believe that actual flight times are uniformly
distributed between 2 hours and 2 hours,20 minutes.
a. Show the graph of the probability density function for flight
time
b. what is the probability that the flight will be no more than
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