the weight of items produced by a machine is normally distributed with a mean of 7 ounces and a standard deviation of 3 ounces. what percentage of items will weigh between 4.3 and 8.65 ounces? a. 47.52%

Respuesta :

27.80% is percentage of items .

What percentage means?

  • Percentage ,a comparative figure denoting one hundredth of any quantity.
  • One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.

Mean = 7

standard deviation = 3 ounces

Required % = p (5.6<x < 7.1 ) × 100 = ?

z = x - μ/σ = 5.6 - 7/2

 z = 7.1 - 7/2 = 0.05

∴ P(5.6 < x < 7.1 ) = p ( - 0.7 < z < 0.05 )

   p( z < 0.05 ) - p (  z < - 0.7)

= 0.51994 - 0.24196 ≅ 0.2780

So, required % =  0.2780 × 100

                         = 27.80%

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