Descriptive Statistics and Probability
STA1501
ASSIGNMENT 2
SEMESTER 1 – 2024
This document contains handwritten Assignment 2 FOR STA1501. DO NOT Submit this COPY
, Part A
QUESTION 1: False. While 0.25 is a legitimate probability value, 1.21 is not because probability
values must be between 0 and 1 inclusive.
QUESTION 2: False. Events A and B are not independent because they share common
outcomes.
QUESTION 3: True. Events A and B are not mutually exclusive because they have a common
outcome, which is 1.
QUESTION 4: False. The probability of the complement of the event is 0.55 (1 - 0.45), not 0.45.
QUESTION 5: False. If A and B were mutually exclusive, then P(A and B) would be 0, not 0.1.
QUESTION 6: True. The events A and B are independent because P(B/A) = P(B).
QUESTION 7: True. The probability P(C or D) is indeed 1 because every outcome falls into either
C or D.
QUESTION 8: False. The events A and B are not mutually exclusive because they have common
outcomes.
QUESTION 9: False. The probability P(C and B) is 4/19, not 0.33.
QUESTION 10: True. The expression P(A and B) does indeed describe that both events A and B
occur.
STA1501
ASSIGNMENT 2
SEMESTER 1 – 2024
This document contains handwritten Assignment 2 FOR STA1501. DO NOT Submit this COPY
, Part A
QUESTION 1: False. While 0.25 is a legitimate probability value, 1.21 is not because probability
values must be between 0 and 1 inclusive.
QUESTION 2: False. Events A and B are not independent because they share common
outcomes.
QUESTION 3: True. Events A and B are not mutually exclusive because they have a common
outcome, which is 1.
QUESTION 4: False. The probability of the complement of the event is 0.55 (1 - 0.45), not 0.45.
QUESTION 5: False. If A and B were mutually exclusive, then P(A and B) would be 0, not 0.1.
QUESTION 6: True. The events A and B are independent because P(B/A) = P(B).
QUESTION 7: True. The probability P(C or D) is indeed 1 because every outcome falls into either
C or D.
QUESTION 8: False. The events A and B are not mutually exclusive because they have common
outcomes.
QUESTION 9: False. The probability P(C and B) is 4/19, not 0.33.
QUESTION 10: True. The expression P(A and B) does indeed describe that both events A and B
occur.
