For each of the following exercises, determine the range (possible values) of th

Question

For each of the following exercises, determine the range (possible values) of the random variable. In a voice communication system with 50 lines, the random variable is the number of lines in use at a particular time. A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected. wood paneling can be ordered in thicknesses of 1/8. 1/4, or 3/8 inch. The random variable is the total thickness of paneling in two orders.

Explanation / Answer

Determine the range (possible values) of the random variable

i. In a voice communication system with 50 lines, the random variable is the number of lines in use at a particulr time.

Random variable : no. of lines in use. This can take a minimum value = 0 since none of the lines are in use and maximum value =50 at max all the 50 lines could be in use

the range : 0,50

ii . A batch of 500 machinedd parts contain 10 that do not conform to customer requirements. Parts are selected successively, without replacement unitl a nonconformaing part is obtained. The random variable is the number of parts selected.

Random Variable : No. of machined parts selected till the non-confirming part is selected . Minimum value =0 ; none of the machined parts are selected

and maximum value = 491, because the end point is when a non conforming part is detected. the extreme case that can happen is 490 confirming parts are selected (as it's given that there 10 non confirming parts) and 491th part has to be a non-confirming part.

The range is : 0 , 491

iii. Wood paneling can be ordered in thickness of 1/8,1/4, or 3/8 inch. The random variable is the total thickness of paneling in two orders.

Random variable : Total thicknes of two wood panelling ;

The possible values are :

1. 1/8+1/4 = 3/8

2. 1/4+3/8 = 5/8

3. 1/8+3/8 = 4/8

The minimum value is 3/8 inchs and maximum value = 5/8inchs

So the range : 3/8, 4/8

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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