For the following problems, credit is given for all of the steps in the solving

Question

For the following problems, credit is given for all of the steps in the solving process. Be sure to fill in the intervals correctly (x interval, then z interval), sketch the curve showing the location of the z value, and find the area under the curve using the tables appropriately. Show all necessary work. 5. Weights of a certain model of fully loaded gravel truck follow a normal distribution with mean -6.4 tons and standard deviation truck of this model is: 0.3 ton. What is the probability that a fully loaded a. Less than 6 tons? b. More than 7 tons? . C. Between 6 and 7 tons?

Explanation / Answer

a) P(X<6)

= P(Z<(6-6.4)/0.3)

= P(z<-1.33)

= 0.0912

b) P(X>7)

= P(z>(7-6.4)/0.3

= P(z>2)

= 0.02275

c) P(6<x<7)

= P((6-6.4)/0.3<z<(7-6.4)/0.3)

= 0.8860

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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