opie Window Help / vy63 Hrmwk . Areas Under Any PNew Tab Secure https://www.weba

Question

opie Window Help / vy63 Hrmwk . Areas Under Any PNew Tab Secure https://www.webassign.net/webstudentiAssignment.Responsesisubmit?depu Need Help? Resdit 0/1 points 1 Previous Answers BBUnderStat12 6.3.027 My Notes Ask Your Te Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximatel normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.2 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm 9522x (b) the thickness is more than 7.0 mm (c) the thickness is between 3.0 mm and 7.0 mm Need Help?Read 5 MacBook Ai

Explanation / Answer

Question

Mean thickness = 5.0 mm

Standard deviation of thickness = 1.2 mm

(a) if X is the thickness of any random potsherds is x mm.

so,

Pr(x < 3 mm) = Pr(x < 3 mm ; 5.0 mm ; 1.2 mm)

Z = (3 - 5)/1.2 = -1.6667

Pr(x < 3 mm) = Pr(Z < -1.6667) = 0.0478

(b) Pr (x > 7 mm) = 1 - Pr(x < 7 mm ; 5.0 mm ; 1.2 mm)

Z = (7 - 5)/1.2 = 1.6667

Pr(x > 7 mm) = 1 - Pr(Z < 1.6667) = 1 - 0.0478 = 0.9522

(c) Pr(3 mm < x < 7 mm) = Pr(x < 7 mm) - Pr(x < 3mm) = 0.9522 - 0.0478 = 0.9044

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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