3, 18 t, and 20 ft, Let X-the rated capacity of a freezer ofth, brand sold at a

Question

3, 18 t, and 20 ft, Let X-the rated capacity of a freezer ofth, brand sold at a cerain store. Suppose that X has the An certain brand of upright freezer is avalable in three different rated capacites: 16 ollowing pm P(x) o.S 01 04 (a) Compute Ex),Exand x ft3 E(A) Ex- (b) If the price of a freezer having capecity X is 67x- 650, what is the expected price paid by the next customer to buy a freezer? c) What is the variance of the price paid by the next customer (d) Suppose that although the rated capacity of a freezer·x, the actual apacty is h X)·-0 009, what is the expected och alapooty of the freezer purchased by the net stormer?

Explanation / Answer

from abvoe E(X)=17.8

E(X2)=320.4

Var(X)=E(X2)-(E(X))2 =3.56

b)

expected price =67*E(X)-650 =67*17.8-650=542.6

c)variance =672*Var(X)=15980.84

d)expected actual capacity=E(X)-0.009*E(X2)=14.9164

x P(x) xP(x) x2P(x) 16 0.5 8 128 18 0.1 1.8 32.4 20 0.4 8 160 total 17.8 320.4

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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