SOLUTION: If the mean and the stadard deviation of a continuous random variable that is normally distributed are 50 and 4, respectively, find an interval that contains 58% of the distributio

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: If the mean and the stadard deviation of a continuous random variable that is normally distributed are 50 and 4, respectively, find an interval that contains 58% of the distributio      Log On

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 Question 11678: If the mean and the stadard deviation of a continuous random variable that is normally distributed are 50 and 4, respectively, find an interval that contains 58% of the distribution. Answer by khwang(438)   (Show Source): You can put this solution on YOUR website! Assume the 95% interval is (mu -x,mu+x) where mu is the mean = 50 We have x/4 = 0.806 [ this value corresponding to 0.58 from the Table] so, x = 0.806*4 = 3.26 Hence,the solution interval is (50- 3.26,50+3.26) = (46.77, 53.26) Kenny