A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 223.7-cm and a standard deviation of 2.3-cm. For shipment, 16 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X - N( 223.7
2.3
b. What is the distribution of ?- N
c. For a single randomly selected steel rod, find the probability that the length is between 223.1-cm
and 223.9-cm.
d. For a bundled of 16 rods, find the probability that the average length is between 223.1-cm and
223.9 cm.
e. For part d), is the assumption of normal necessary? No Yes

d

gimmee one of those gold crowns!

~coco

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

what's the question?

step-by-step explanation:

there is no question.