Hi David,
2006 past year question
Question:
Let X be a uniformly distributed random variable between minus one and one so that the standard deviation of X is 0.577. What percentage of the distributions will be less than 1.96 std deviations above the mean?
A: 100%
B: 97.5%
C: 95%
D: Insufficient information provided.
Answer: A 100%
The answer requires understanding of distributions and std deviation. The key is that every distribution has a std distribution. However the number of std deviations associated with different probabilities are different for each distribution. In this case 1.96 std deviation represents a move of 1.12 or less. As the total distribution is defined as falling between minus one and one.
Can you explain how to solve this question? I do not have a clue of what the question is asking even after reading the answer.
Your guidance, please
Regards
Learning.
no comment untill now