Find variance of normal distribution, given mean and...

stoiko

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Hello!

I don't know why but this task is presenting a big problem for me, I am trying to solve it for more than an hour, but without success...



3. Suppose a random variable X follows a normal distribution with a mean \(\displaystyle \, \mu\, =\, 3\, \) and an unknown variance \(\displaystyle \, \sigma^2 .\,\) Moreover, it is given that, for 4% of the population, X > 5.11. What is the variance of X (rounded to two decimal places)?

A. 1.21. . .B. 1.45. . .C. 4.09. . .D. 16.72




I am trying to solve it using Chebyshev's theorem, but may be this is wrong :( Can anyone offer some help?

Thank you!
 

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