Question
In: Advanced Math
MATLAB In a traffic study of a street, the following information was gathered. • Cars passed...
MATLAB
In a traffic study of a street, the following information was gathered.
• Cars passed by at an average rate of 300 cars per hour.
• The speed of the cars was normally distributed, with an average speed of 58 km/h and a variance of 2 km^2/h^2 .
Based off this information, you are asked to solve the likelihoods of certain events happening. For each question clearly indicate the random variable and the distribution it follows, solve by hand and check your answer using MATLAB.
1. What is the probability that there is less than 10 seconds time difference between one car and the next?
2. What is the probability that more than 3 cars pass by in a minute?
3. The speed limit of the road is 60 km/h. What is the probability that a random car is speeding?
4. What is the probability that there are no speeding cars within a 10 minute period?
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Design a sequential traffic light controller for the intersection of street A and street B. Each...
Design a sequential traffic light controller for the
intersection of street A and street B. Each street has traffic
sensors which detect the presence of vehicles approaching or
stopped at intersection.
Sa=1 means a vehicle is approaching on street A.
Sb=1 means a vehicle is approaching on street B.
There are 3 outputs of each streets RedA, YellowA and GreenA,
RedB, YellowB, and GreenB.
Condition: “StreetA” is a main street and has a green light for
at least 50s, after...
Overton Company has gathered the following information.
Overton Company has gathered the following information.Units in beginning work in process21,100Units started into production184,900Units in ending work in process24,700Percent complete in ending work in process: Conversion costs60% Materials100%Costs incurred: Direct materials$103,000 Direct labor$263,576 Overhead$187,500Compute equivalent units of production for materials and for
conversion costs.MaterialsConversion CostsThe equivalent units of production Determine the unit costs of production. (Round unit
costs to 2 decimal places, e.g. 2.25.)MaterialsConversion CostsUnit costs$$ Show the assignment of costs to units transferred out and in
process.Transferred out$Ending work in process$
Use the following information to answer Questions 9 and 10: An analyst gathered the following information...
Use the following information to answer Questions 9 and 10: An
analyst gathered the following information regarding Beta
Corporation: •Current dividend per share = $2.18 •Next year's
expected dividend growth rate of 30% is expected to decline
linearly over the following 8 years to a long-term constant growth
rate of 6%. •Required rate of return on the company's stock is
11%.
Question: The value of the company's stock today is closest to:
Select one: a. $41.86 b. $98.54 c. $88.07...
The City Council has gathered data on the number of minor traffic accidents and the number...
The City Council has gathered data on the number of minor
traffic accidents and the number of youth football games that occur
in a town over a weekend
X (Soccer Games) 20 30 10 12 15 25 24
Y (minor accdnt) . 6 9 4 5 7 8 9
Plot the data
Develop the estimating equation that describes the data
Predict the number of minor traffic accidents that will occur on
a weekend during which 33 soccer games takes place
Amid COVID-19, there are fewer cars running in the street. Suppose after 10am the cars pass...
Amid COVID-19, there are fewer cars running in the street.
Suppose after 10am the cars pass through the traffic light in front
of the gate of QC according to a Poisson process with rate 2 per
minute. Let Y denote the waiting time for the arrival of the fourth
car. (a) (8pts) Find the probability that the fourth arrival is
between 10:01am and 10:03am. That is P(1 < Y < 3). (b) (6pts)
Let W be a random variable independent...
Amid COVID-19, there are fewer cars running in the street. Suppose after 10am the cars pass...
Amid COVID-19, there are fewer cars running in the street.
Suppose after 10am the cars pass through the traffic light in front
of the gate of QC according to a Poisson process with rate 2 per
minute. Let Y denote the waiting time for the arrival of the fourth
car. (a) (8pts) Find the probability that the fourth arrival is
between 10:01am and 10:03am. That is P(1 < Y < 3). (b) (6pts)
Let W be a random variable independent...
how would the self driving cars (smart cars) react to a temporary signage (construction) traffic cops,or...
how would the self driving cars (smart cars) react to a
temporary signage (construction) traffic cops,or ambulance with
sirens trying to pass them, by it self without human helps, and do
you think we would see this in the future?
You are a financial adviser and the following information is an extract of data you gathered...
You are a financial adviser and the following information is an
extract of data you gathered as part of fact finding during an
initial client consultation for married couple Janet and Steven
Blake. Janet works as a Teacher and Steven works as town planner at
the local government. The have two children who are aged 12 and
14.
The Blake’s have diversified their investments by investing
equally in a bank savings account, a fund and some Macquarie Group
Ltd Shares....
The following information for the month of December 20x6, with respect to cash activities, was gathered...
The following information for the month of December 20x6, with
respect to cash activities, was gathered by the company’s
bookkeeper.
Cash balance per books, December 1
$3,700
Cash received during December
$77,000
Cash payments made during December
$77,548
Cheques outstanding, December 31
$5,300
Bank service charges for December
$52
Deposits in transit at December 31
$1,700
A $1,200 cheque received from a customer on December 13 in
payment of an account receivable was incorrectly recorded as
$1,020
a) What is...
To try and determine what type of virus it is, you gathered the following information: The...
To try and determine what type of virus it is, you gathered the
following information:
The capsid is surrounded by a plasma membrane that resembles
that of an animal cell. After its genetic material is released into
a host cell, the genetic information is used to produce mRNA
through a process called transcription. From this mRNA, proteins
are being produced making further use of the host's resources. When
the assembled virus particles leave the cell, they destroy it.
What type...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- XYZ Company is considering purchasing a piece of equipment costing $400,000. It has a useful life...
- Reflection of the short film "How Wolves Change Rivers" and Aldo Leopold's "Thinking Like A Mountain".
- What kind of rebar would be most cost effective for foundation? Would it be to design...
- Why would UnderArmour want to be sure that consumers can clearly see different models ( about...
- Five years ago, Miguel invested a stock with price $35 per share. The stock price at...
- You are touring a distant planet on which the magnitude of the gravitational acceleration is 65%...
- GDP increased from $16.55 trillion to $17.28 trillion. What was the growth rate of GDP? The...
ADVERTISEMENT