Jane has several legal documents to type. Jane completes an average of 7 documents per 15 minutes. Her completion of one documen
t is independent of any other one.
a) Let N be the number of documents Jane completes between 9:00am and 10:00am. What are the distribution, parameter(s), and support of N?
b) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am.
c) What is the probability that Jane completes 58 documents between 2:00pm and 4:00pm.
d) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am and 40 documents between 1:00pm and 2:30pm.
e) What is the standard deviation for the number of documents Jane will complete between 3:00pm and 5:45pm?
f) If Jane is paid at a rate of 1 dollar and 25 cents per document how much can she expect to make for a day in which she has 6 and a half hours of straight typing?
a) Let N be the number of documents Jane completes between 9:00am and 10:00am. What are the distribution, parameter(s), and support of N?
b) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am.
c) What is the probability that Jane completes 58 documents between 2:00pm and 4:00pm.
d) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am and 40 documents between 1:00pm and 2:30pm.
e) What is the standard deviation for the number of documents Jane will complete between 3:00pm and 5:45pm?
f) If Jane is paid at a rate of 1 dollar and 25 cents per document how much can she expect to make for a day in which she has 6 and a half hours of straight typing?
1 answer:
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Complete Question
Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.
Answer:
a
The Fermi function for the energy KT is
b
The temperature is
Step-by-step explanation:
From the question we are told that
The energy considered is
Generally the Fermi function is mathematically represented as
Here K is the Boltzmann constant with value
is the Fermi energy
is the initial energy level which is mathematically represented as
So
=>
=>
=>
Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the Fermi function as
Here is that energy level that is 0.5 ev above the Fermi energy
=>
=>
=>
=>
=>
Taking natural log of both sides
=>
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Note eV is electron volt and the equivalence in Joule is
So
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