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Answer: I, IV, and V
Under the uniform distribution, ALL outcomes are equally likely i.e., they have equal probabilities of occurrence. For example: 1. **Throwing a fair, six-sided die (I)**: Each number (1 to 6) has probability 1/6 2. **Tossing a coin (IV)**: Head or tail each has probability 0.5 3. **Picking an orange from a basket containing 10 equally sized oranges (V)**: Each orange has equal probability of 1/10 Events II and III do not exhibit uniform distributions: - **Rate at which customers walk into a banking hall per day (II)**: Typically follows a Poisson distribution - **Score of 50 FRM exam candidates in a mock test (III)**: Typically follows a normal distribution or other non-uniform distribution Therefore, only events I, IV, and V exhibit uniform distributions.
Author: Nikitesh Somanthe
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Consider the following events:
I. Throwing a fair, six-sided die II. The rate at which customers walk into a banking hall per day III. The score of 50 FRM exam candidates in a mock test IV. Tossing a coin V. Picking an orange from a basket containing 10 equally sized oranges
Which of the events above exhibit uniform distributions?
A
I, IV, and V
B
I and II only
C
II and III only
D
None of the above