A manufacturer produces line up of seam welding pipes. One of the pipes specific

Question

A manufacturer produces line up of seam welding pipes. One of the pipes specifications should had a diameter 25 plusminus 0.05 millimeters. In this industry, each pipe doesn't match the specifications considered defect either it was exceeds the upper tolerance limit or below the tolerance limit. The probability that the produced pipe diameter meets specifications is known to be 0.95, and the probability of pipe diameter exceeds the specifications limits equal to the probability the pipe diameter below the specifications limit. What is the probability that a pipe's diameter selected randomly is too below 24.95 mm? 0.005 0.025 0.05 0.0025 0.01

Explanation / Answer

Here we are given that the probability that the diameter lies in the given range is 0.95. This means that:

P( 25 - 0.05 < D < 25 + 0.05) = 0.95

P( 24.95 < D < 25.05) = 0.95

From above equation we know that:

P( D < 24.95 ) + P( D > 25.05) = 1- 0.95 = 0.05

Also we are given that:

P( D < 24.95 ) = P( D > 25.05)

Therfore as their sum is 0.05 therefore,

P( D < 24.95 ) = P( D > 25.05) = 0.025

Therefore 2) 0.025 is the correct answer here.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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