Started on Monday, 26 June 2023, 1:41 PM
State Finished
Completed on Monday, 26 June 2023, 3:22 PM
Time taken 1 hour 40 mins
Marks 19.50/25.00
Grade 78.00 out of 100.00
Question 1
Correct
Mark 2.00 out of 2.00
Which one of the following statements is incorrect with regard to experiments, counting rules and assigning probabilities?
a. An experiment with 33 steps and 44 outcomes possible for each step has 64 64 experimental outcomes.
b. The number of permutations of 44 items that can be selected from a group of 88 items is 70 70.
c. The number of combinations of 55 items that can be selected from a group of 77 items is 21 21.
d. In an experiment with 44 equally likely outcomes, each experimental outcome has a probability of 0.25 0.25.
e. A subjective method of assigning probabilities is most appropriate when one cannot assume equally likely experimental outcomes.
Question 2
Incorrect
Mark 0.00 out of 1.00
Consider the following experiments and their outcomes, extracted from page 86 86 of the prescribed textbook.
Suppose that experiment 5 of playing a football game is conducted 44 times. Determine the total number of experimental outcomes and choose the correct
answer from the list of options below.
a. 33
b. 44
c. 81 81
d. 64 64
e. 12 12
,Question 3
Correct
Mark 2.00 out of 2.00
Suppose that two events A��� and B ��� have the following probabilities:
P (A) = 0.6 ��
P (B) = 0.4
P (A and B) = 0.34
Which one of the following statements is incorrect?
a. P (A or B) = 0.66 ���(��� or ���) = 0.66
b. P (B|A) = 0.4 ���(��� | ���) = 0.4
c. The probability of the complement of B ��� is 0.6 0.6 i.e., P (B ′ ) = 0.6 ���(��� ′ ) = 0.6.
d. Events A��� and B ��� are not mutually exclusive.
e. Events A��� and B ��� are not independent.
Question 4
Correct
Mark 2.00 out of 2.00
The contingency table below shows smoking habits of 195 195 staff members of a fictitious company.
Which one of the following statements is incorrect?
a. The probability that a randomly chosen staff member is a senior employee and a nonsmoker is 0.133 0.133.
b. The probability that a randomly chosen staff member is a senior employee or a nonsmoker is 0.456 0.456.
c. The probability that a randomly chosen staff member is a senior employee is 0.267 0.267
d. The probability that a randomly chosen staff member is a nonsmoker is 0.301 0.301
e. The events secretaries and heavy smoker are mutually exclusive.
, Question 5
Correct
Mark 2.00 out of 2.00
Consider the smoking habits contingency table once again.
What is the probability that a randomly chosen staff member is a light smoker, given that s/he is a junior manager i.e.,
P (Light|JM) ���(Light | ������)?
a. 0.182 0.182
b. 0.158 0.158
c. 0.044 0.044
d. 0.067 0.067
e. 0.015 0.015
Question 6
Correct
Mark 2.00 out of 2.00
The probability distribution for the random variable X ��� is as follows.
x ��� 00 11 22 33 44
P (x) ���(���)0.32 0.320.16 0.160.21 0.210.07 0.070.24 0.24
What is the expected value of the random variable X ���?
a. 1.75 1.75
b. 2.44 2.44
c. 2.01 2.01
d. 2.5 2.5
e. 1.5 1.5
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