The following document contains a reconstructed version of the 2025 GE210 statistics class
based on memory. As this is based sheerly on the memory of a few students the test is incomplete
with many questions missing.
The exam itself is made up of two exam booklets, one covering the content of the second prof
(module 4-5), and the other covering the section of the final prof (module 6-8). Content up to,
and on the midterm is not evaluated. Throughout the two exam booklets, there’s a mix of a fill in
the blank sections (with an oversized word bank), a true/false section, and multiple long answers.
Some fill in the blank questions with word bank
1. What distribution is used when there is only two outcomes? (Note that ‘binomial’ is not
the correct answer as it is not included in the word bank).
2. What distribution is commonly used to model weather data?
3. What distribution is commonly used for models involving a rate?
4. What distribution is a special form of the power distribution?
5. If f(X) is a log-normal distributed PDF and Y=g(x)=log(X), what distribution is f(Y)?
6. Log-normal is an exceptional case of what kind of distribution?
Some T/F questions
1. A discrete variable is not independent of the sample?
2. Something about method of moments but was forgotten
Short answer questions
1. What is the range of R and R2
2. State the definition of a type 1 test
3. what information do you want to gain from taking information from a sample?
Medium-Long answer questions
1. Given that 𝜇 ^ = 2268 𝑎𝑛𝑑 𝜎 ^ = 140 find the two parameters for each of the following
distributions
a) Normal
b) Log-normal
c) Gamma
(Note that these formulas are given to you. Hence this question was not worth many
marks)
2.
3. Using the table of values,
Day
2<
2.5
3
4.5
5
5.5>
Probability
.1
.20
.25
.45
.50
.55
calculate
a) The probability of exactly 7 of these entries happening in 4 days
b) What’s the probability of no more than 2 entries happening in 4 days?
c) What is the probability of at least 1 entry happening within 1 day?
d) *there was one more question, however it was forgotten. The calculation step was the
identical to ‘b’ but with different values. The exact values for the table was also
forgotten*
4. Given a set of data:
Height
1.75
1.78
1.73
1.47
1.83
Weight
68.10
69.92
66.28
55.02
74.46
1.65
61.29
1.60
58.57
1.63
59.93
1.57
67.20
1.68
63.11
Find
a) The linear regression equation using the method of least squares
b) The value for R2 and state what this value means
c) Covariance
5. Statistics say that 50% of engineers go on to get further education. A survey of 485
people was conducted, of which 117 said they got further education. (Z.05 = 1.65)
a) Conduct a probability test based on the above information and determine whether we
should reject or fail to reject the null hypothesis.
b) Find the P value based off the results from a.
6.