Midterm Exam – Class code 125
FOREIGN TRADE UNIVERSITY
HCMC CAMPUS
Deapartment of Basic Science
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MIDTERM EXAM QUESTIONS
Probability and Statistics Theory
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Semester: 1 Academic year: 2023 – 2024
Full-time/Part-time: Full-time
Class code: 125
Form of Exam: Written Exam
Duration: 60 minute (excluding paper distribution time)
Question 1. (2 marks) Given that 10% of the people who come into the showroom and talk to a
salesperson will purchase a car. To increase the chances of success, you propose to offer a free
dinner with a salesperson. The project is conducted, and 40% of the people who purchased cars
had a free dinner. In addition, 10% of the people who did not purchase cars had a free dinner.
a. (1 mark) What is the probability that a person will have a free dinner?
b. (0,5 marks) What is the probability that a person who accepts a free dinner will purchase a
car?
c. (0,5 marks) What is the probability that a person who does not accept a free dinner will
purchase a car?
Question 2. (2 marks) A contractor estimates the probabilities for the number of days required
to complete a certain type of construction project as follows:
Time (days) 1 2 3 4 5
Probability 0,05 0,20 0,35 0,30 0,1
a. (1 mark) What is the probability that a randomly chosen project will take less than 3 days to
complete?
b. (1 mark) The contractor’s project cost is made up of two parts—a fixed cost of $20,000, plus
$2,000 for each day taken to complete the project. Find the mean and standard deviation of
total project cost.
Question 3. (1 mark) The number of accidents in a production facility has a Poisson
distribution with a mean of 2.6 per month. For a given month what is the probability there will
be more than 3 accidents?
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