If a point is randomly located in an interval (a,b) and if Y denotes the loactio

Question

If a point is randomly located in an interval (a,b) and if Y denotes the loaction of the point then Y is assumed to have a uniform distribution over (a,b). A plant efficiency expert randomly selects a location along a 500-foot assembly line from whcih to observe the work habits of the workers on the line. What is the porbability that the point she selects is
a) within 25 feet of the end of the line?
b) within 25 feet of the beginning of the line?
c) closer to the beginning of the line than the end of the line?

Explanation / Answer

Y denotes the location of the point, then y is assumed to have a uniform distribution over (a,b)
A plant efficiency expert randomly selects a location along 500-ft assembly line from which to observe the work habits of the workers on the line.
Y is unfiorm 0 to 500.
probability that the point she selects is
a). within 25 feet of the end of the line?
P(475<y<500)=25/500=0.05

b.) within 25 feet of the beginning line?
P(0<y<25) = 25/500=0.05

c.) closer to the beginning of the line than to the end of the line?
P(0<y<25) +P(475<y<500)= 50/500=0.1

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.