SOA EXAM P STUDY GUIDE (500 FLASHCARD BONUS ) |
FROM QUESTION TO PERFECTION| STUDY WITH
CONFIDENCE!
Course Code:
Course Title:
Programme:
Academic Year: 2026/2027.
Duration: 2 Hours.
Total Marks: 100.
Candidate Instructions:
1) Write your Registration Number on every answer booklet used.
2) Answer ALL questions in Section A and ANY TWO (2) questions in Section B.
3) Read each question carefully before answering.
4) Begin each question on a new page.
5) The marks for each question are indicated in brackets.
6) This paper consists of several printed pages, including this page.
7) Ensure your copy is complete before the examination begins.
8) Unauthorized materials and communication with other candidates are not permitted.
Turn Over.
APPHIA – Crafted with Care and Precision for Academic Excellence.
1
, What is the formula for the variance of a binomial distribution? Answer: Variance = n p (1 - p)
What is the probability of success in a geometric distribution? Answer: P(X = k) = (1 - p)^(k-1)
*p
What is the formula for the expected value of a geometric distribution? Answer: E(X) = 1 / p
What is the standard deviation of a uniform distribution on the interval [a, b]? Answer: SD = (b
- a) / √12
What is the probability density function (PDF) of a negative binomial distribution? Answer:
f(x) = (x - 1 choose r - 1) p^r (1 - p)^(x - r)
What is the formula for the variance of a Poisson distribution? Answer: Variance = λ
What is the formula for the moment-generating function (MGF) of a normal distribution?
Answer: M(t) = e^(μt + 0.5 σ² t²)
What is the formula for the variance of a normal distribution? Answer: Variance = σ²
What is the probability mass function (PMF) of a Poisson distribution? Answer: P(X = k) =
(λ^k * e^(-λ)) / k!
What is the moment-generating function (MGF) of an exponential distribution? Answer: M(t) =
λ / (λ - t)
What is the formula for the expected value of a binomial distribution? Answer: E(X) = n * p
What is the formula for the probability mass function (PMF) of a geometric distribution?
Answer: P(X = k) = (1 - p)^(k - 1) * p
What is the formula for the expected value of a uniform distribution on the interval [a, b]?
Answer: E(X) = (a + b) / 2
What is the cumulative distribution function (CDF) of a binomial distribution? Answer: F(x) =
ΣP(X = k) for k = 0 to x
What is the formula for the probability of success in a binomial distribution? Answer: p
What is the variance of a negative binomial distribution? Answer: Variance = r * (1 - p) / p²
What is the formula for the expected value of an exponential distribution with rate λ? Answer:
E(X) = 1 / λ
What is the formula for the standard deviation of a Poisson distribution? Answer: SD = √λ
What is the formula for the cumulative distribution function (CDF) of a geometric distribution?
Answer: F(x) = 1 - (1 - p)^x
What is the probability density function (PDF) of an exponential distribution? Answer: f(x) = λ
* e^(-λx) for x ≥ 0
APPHIA – Crafted with Care and Precision for Academic Excellence.
2
FROM QUESTION TO PERFECTION| STUDY WITH
CONFIDENCE!
Course Code:
Course Title:
Programme:
Academic Year: 2026/2027.
Duration: 2 Hours.
Total Marks: 100.
Candidate Instructions:
1) Write your Registration Number on every answer booklet used.
2) Answer ALL questions in Section A and ANY TWO (2) questions in Section B.
3) Read each question carefully before answering.
4) Begin each question on a new page.
5) The marks for each question are indicated in brackets.
6) This paper consists of several printed pages, including this page.
7) Ensure your copy is complete before the examination begins.
8) Unauthorized materials and communication with other candidates are not permitted.
Turn Over.
APPHIA – Crafted with Care and Precision for Academic Excellence.
1
, What is the formula for the variance of a binomial distribution? Answer: Variance = n p (1 - p)
What is the probability of success in a geometric distribution? Answer: P(X = k) = (1 - p)^(k-1)
*p
What is the formula for the expected value of a geometric distribution? Answer: E(X) = 1 / p
What is the standard deviation of a uniform distribution on the interval [a, b]? Answer: SD = (b
- a) / √12
What is the probability density function (PDF) of a negative binomial distribution? Answer:
f(x) = (x - 1 choose r - 1) p^r (1 - p)^(x - r)
What is the formula for the variance of a Poisson distribution? Answer: Variance = λ
What is the formula for the moment-generating function (MGF) of a normal distribution?
Answer: M(t) = e^(μt + 0.5 σ² t²)
What is the formula for the variance of a normal distribution? Answer: Variance = σ²
What is the probability mass function (PMF) of a Poisson distribution? Answer: P(X = k) =
(λ^k * e^(-λ)) / k!
What is the moment-generating function (MGF) of an exponential distribution? Answer: M(t) =
λ / (λ - t)
What is the formula for the expected value of a binomial distribution? Answer: E(X) = n * p
What is the formula for the probability mass function (PMF) of a geometric distribution?
Answer: P(X = k) = (1 - p)^(k - 1) * p
What is the formula for the expected value of a uniform distribution on the interval [a, b]?
Answer: E(X) = (a + b) / 2
What is the cumulative distribution function (CDF) of a binomial distribution? Answer: F(x) =
ΣP(X = k) for k = 0 to x
What is the formula for the probability of success in a binomial distribution? Answer: p
What is the variance of a negative binomial distribution? Answer: Variance = r * (1 - p) / p²
What is the formula for the expected value of an exponential distribution with rate λ? Answer:
E(X) = 1 / λ
What is the formula for the standard deviation of a Poisson distribution? Answer: SD = √λ
What is the formula for the cumulative distribution function (CDF) of a geometric distribution?
Answer: F(x) = 1 - (1 - p)^x
What is the probability density function (PDF) of an exponential distribution? Answer: f(x) = λ
* e^(-λx) for x ≥ 0
APPHIA – Crafted with Care and Precision for Academic Excellence.
2
