SOLUTION: If X is a normal random variable with a standard deviation 3.50, and if the probability that X is less than 8.83 is .648, then what is the mean of X?

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Question 429479: If X is a normal random variable with a standard deviation 3.50, and if the probability that X is less than 8.83 is .648, then what is the mean of X?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

*Note: z+=+blue%28X+-+mu%29%2Fblue%28sigma%29

Probability =.648 then z = .3799

      

 .3799 =(8.83 - μ)/(3.5)

   μ  = 8.83-.3799*3.5

  μ  = 7.5