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A mean of 5.11 and standard deviation 2.37, What % is between 4 and 5

A mean of 5.11 and standard deviation 2.37, What % is between 4 and 5

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 5.11

standard deviation = = 2.37

P(4 < x < 5) = P((4 - 5.11 / 2.37) < (x - ) / < (5 - 5.11) / 2.37) )

P(4 < x < 5) = P(-0.4684 < z < -0.0464)

P(4 < x < 5) = P(z < -0.0464) - P(z < -0.4684)

P(4 < x < 5) = 0.4815 - 0.3197 = 0.1618

Answer = 16.18%

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