Question 8 A company produces steel rods. The lengths of the steel rods are normally distributed with a mean

of 219.2-cm and a standard deviation of 0.9-cm. For shipment, 23 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is greater

than 219.8 cm

PM > 219.8-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores

or scores rounded to 3 decimal places are accepted.

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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation:

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