A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function S3[1 – 16(x – 10)²] S(x) = 30 9.75


A process that manufactures piston rings produces rings whose diameters (in centimeters)<br>vary according to the probability density function<br>S3[1 – 16(x – 10)²]<br>S(x) = 30<br>9.75<x< 10.25<br>otherwise<br>Find the mean diameter of rings manufactured by this process.<br>a.<br>b.<br>Find the standard deviation of the diameters of rings manufactured by this process.<br>(Hint: Equation 2.38 may be easier to use than Equation 2.39.)<br>

Extracted text: A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function S3[1 – 16(x – 10)²] S(x) = 30 9.75<>< 10.25="" otherwise="" find="" the="" mean="" diameter="" of="" rings="" manufactured="" by="" this="" process.="" a.="" b.="" find="" the="" standard="" deviation="" of="" the="" diameters="" of="" rings="" manufactured="" by="" this="" process.="" (hint:="" equation="" 2.38="" may="" be="" easier="" to="" use="" than="" equation="">
Find the cumulative distribution function of piston ring diameters.<br>C.<br>d.<br>What proportion of piston rings have diameters less than 9.75 cm?<br>e.<br>What proportion of piston rings have diameters between 9.75 and 10.25 cm?<br>

Extracted text: Find the cumulative distribution function of piston ring diameters. C. d. What proportion of piston rings have diameters less than 9.75 cm? e. What proportion of piston rings have diameters between 9.75 and 10.25 cm?

Jun 02, 2022
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