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round answer to 3 decimal places

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The diameter of an electric cable is normally distributed, with a mean of 0.7 inch and a standard deviation 0.03. What is the probability that the diameter will exceed 0.73 inch? may need to use the standard distribution table. Round answer 3 decimal

Oct 20th, 2017

We know the diameter is Normally distributed, with mean = 0.7, sd = 0.03.

We can find the z-value for this distribution associated with our value x = 0.73:

z = (x-mean)/sd

= (0.73-0.7)/0.03

= 1

We can look this up on a z-table - that will tell us the probability that the true value is less:

P(z<1) = 0.841344746

But we want to know what the probability of seeing a larger value is. So we subtract this from 1:

P(z>1) = 1-P(z<1) 

= 1 - 0.8413

= 0.159 (to 3 decimal places)

Mar 20th, 2015

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