Science:Math Exam Resources/Courses/MATH103/April 2017/Question 01 (e) (iii)

MATH103 April 2017

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Question 01 (e) (iii)
Plots (A-D) depict probability density functions, pdf ’s, for $-\infty <x<\infty$ at the same scale. List all pdf ’s that satisfy the following criteria: (${\bar {x}}$ denotes the mean and $x_{med}$ the median) (iii) $\int _{-\infty }^{0}p(x)dx>{\frac {1}{2}}$ ?

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

Hint
Interpret the question in terms of areas. Remember that the total area of a probability density function is 1.

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Solution
Found a typo? Is this solution unclear? Let us know here. Please rate my easiness! It's quick and helps everyone guide their studies. This question is actually asking which one has larger area on the left side of the y-axis than the right side. B is the only graph with this property. answer: $\color {blue}B$