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I was tasked with finding a probability distribution to fit data with an expected value of 6 and confidence that 90% of values lie between 5 and 9. I have zero experience in statistics, but my first intuition would lead me to believe that a fitting distribution would have to be some sort of (log-)normal distribution skewed to the left. I have no idea how to compute this however or if it is possible to calculate this at all.

Thank you in advance for all answers!

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  • $\begingroup$ Normal with mean 6 and sd 0.78 would work. If you want something different you’ll have to be more specific. $\endgroup$ – Matt F. Jul 28 at 18:41
  • $\begingroup$ Hey, thank you for your answer. I was actually looking for some sort of skewed distribution though.. I can't see how I would be able to achieve 90% of the of the distribution between 5 and 9 with a symmetrical distribution, like the normal distribution. $\endgroup$ – marinara96 Jul 29 at 13:30