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decribe the social snd economic and economic conditions necessary for the transformation of the labour process into a capitalist process
Question 3 [25]
Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per
minute.
Required:
a) Discuss the difference between the Binomial probability distribution and the Poisson
probability distribution.
b) How many calls does the company expect to receive in a period of 30 minutes?
c) What is the probability that the company will receive at most four calls in a period of 4
minutes?
d) What is the probability that the company will receive at least three calls in a period of 5
minutes?
e) What is the probability that the company will receive between six and nine calls in a period
of 2 minutes?
Question 2 [25]
Suppose that the latest census indicates that for every 10 young people available to work only 4 are
employed. Suppose a random sample of 20 young graduates is selected.
Required:
a) What is the probability that they are all employed?
b) What is the probability that none of them are employed?
c) What is the probability that at least four are employed?
d) What is the probability that at most fifteen are employed?
e) What is the probability that the number of young graduates who are employed is greater than
ten but less than fifteen?
f) What is the expected number of graduates who are not employed?
g) What is the standard deviation for the number of graduates who are not employed?
a gas with a pressure of 845 torrs occupies 11.0 l what will the pressure be for a volume of 2.50 l if the temperature remains constant
Question 1 [25]
In a survey conducted among a random sample of students the following observations were made
regarding their gender and learning environment preferences during the COVID-19 pandemic:
168 prefer online learning
202 prefer face to face learning
180 prefer blended learning
34 male students prefer online learning and 70 male students prefer blended learning
106 female students prefer face to face learning
Required:
a) What is the probability that a female student is chosen?
b) What is the probability that a male student prefers face to face learning?
c) What is the probability that a student prefers online or blended learning?
d) If it’s known that the student is female, what is the probability that this student prefers online
learning.
e) Using a practical example, explain the difference between mutually exclusive events and
independent events.
The ideal gas law relates the amount of gas present to its pressure, volume, and temperature. The ideal gas law is typically written as
𝑃𝑉=𝑛𝑅𝑇
where 𝑃 is the pressure, 𝑉 is the volume, 𝑛 is the number of moles of gas, 𝑅 is the ideal gas constant, and 𝑇 is the temperature.
Rearrange the equation to solve for 𝑇.
What is the temperature of 0.597 mol of an ideal gas with a volume of 8.22 L and a pressure of 1.678 atm?
A flexible container at an initial volume of 8.15 L contains 5.51 mol of gas. More gas is then added to the container until it reaches a final volume of 17.1 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.
a gas with a pressure of 845 torrs occupies 11. o l what will the pressure be for a volume of 2.50 l if the temperature remains constant
What mass of C4H6 must react to produce 43.2 L of CO2 gas at 499 K and 2.57 atm.
2C4H6(g)+11O2(g)⟶8CO2(g)+6H2O(l)
First, use the ideal gas equation to calculate the moles of CO2.
Then, calculate the mass of C4H6 from the moles of CO2. Show the conversions required to solve this problem.
What mass of Al2O3 is produced when 13.1 L of O2 gas react with Al at 482 K and 3.40 atm.
4Al(s)+3O2(g)⟶2Al2O3(g)
First, use the ideal gas equation to calculate the moles of O2.
Then, calculate the mass of Al2O3 from the moles of O2. Show the conversions required to solve this problem.
