The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter
μ = 40.
(Round your answers to four decimal places.)
(a)
Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day.
(b)
Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 195 and 265.
(c)
Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
Calculate the exact probability that between 35 and 70 tickets are given out on a particular day.
also Calculate the exact probability that the total number of tickets given out during a 5-day week is between 195 and 265.
In: Statistics and Probability
In this time of crisis, the university president has asked you to use Blue Ocean Strategy to reimagine the University. Provide the analysis and let me know what your mvp would be. Be sure to indicate how your solution meets and exceeds the BOS criteria. How would it be 10x? How would the four action framework apply? What would the KPIs be? Write an elevator pitch for your new venture?
In: Operations Management
(Text answers preferred)
Suppose that the number of men who visit a website is Poisson,
with mean 0.296 per second, and the number of women who visit the
same site is also Poisson, with mean 2 per second. Assume that the
number of men and women are independent.
a. During the next 10 seconds, what is the probability that exactly
4 men visit the site? (10 points)
b. During the next 5 seconds, what is the probability that at least 1 man visits the site? (10 points)
c. What is the expected number of the number of men who visit the site in one day? (10 points)
d. What is the standard deviation of the number of men who visit the site in one week? (10 points)
e. During the next 15 seconds, what is the probability that 1 man and 2 women visit the site? (10 points)
In: Statistics and Probability
A 13 cm -diameter cylinder contains argon gas at 10 atm pressure and a temperature of 40 ∘C . A piston can slide in and out of the cylinder. The cylinder's initial length is 19 cm . 2700 J of heat are transferred to the gas, causing the gas to expand at constant pressure.
What is the final temperature of the cylinder?
What is the final length of the cylinder?
In: Physics
4. An ideal gas in a moveable piston is allowed to reversibly expand by slowly heating at constant pressure.
a. (10 pts) Derive the equation for the work done (w reversible) as a function of the initial and final temperatures.
b. (10 pts) Derive the equation for the change in heat in the system (q).
c. (10 pts) Derive the equation for the change in entropy.
In: Chemistry
A piston–cylinder assembly contains propane, initially at 27°C, 1 bar, and a volume of 0.1 m3. The propane undergoes a process to a final pressure of 4 bar, during which the pressure–volume relationship is pV1.1 = constant. For the propane, evaluate the work and heat transfer, each in kJ. Kinetic and potential energy effects can be ignored.
In: Mechanical Engineering
Five kg of water is contained in a piston–cylinder assembly, initially at 5 bar and 500°C. The water is slowly heated at constant pressure to a final state. The heat transfer for the process is 2660 kJ and kinetic and potential energy effects are negligible. Determine the final volume, in m3, and the work for the process, in kJ. There is no final temperature information given.
In: Mechanical Engineering
A spring loaded piston cylinder contains 1.5 kg of air
at 27°C and 160 kPa. It is
now heated in a process where pressure is linear in volume, P = A +
BV, to twice the
initial volume where it reaches 900 K. Find the work, the heat
transfer and the total
entropy generation assuming a source at 900 K. Is this a possible
process?
In: Mechanical Engineering
Two moles of nitrogen gas at 25°C, confined within a cylinder by a piston maintaining a constant pressure of 1 atm, is heated with 5.30 kJ of energy. Assume all the energy is used to do work of expansion of the gas at 1 atm. What will be the final temperature of the gas? Recall ∆H = ∆E + P∆V and watch your units!
In: Chemistry
The cylinder in the figure(Figure 1) has a moveable piston attached to a spring. The cylinder's cross-section area is 10 cm2, it contains 0.0051 mol of gas, and the spring constant is 1500 N/m. At 21 ∘C the spring is neither compressed nor stretched.
How far is the spring compressed if the gas temperature is raised to 140 ∘C?
In: Physics