2-26.  Disks of polycarbonate plastic by a supplier are assessed for scuff and impact resistance. The results from 100 disks happen to be summarized below: 


Damage

Resistance

Distress Resistance

Substantial

Low

Substantial

70

9

Low

sixteen

5

Let A represent the event that the disk features high distress resistance, and enable B represent the event a disk features high resistance to scratches. Determine the number of disks in A B, A, and A B. 
 A B = seventy, A= 9+5 = 13, A B = 70+16+9 = 95 
 2-86.  Strands of copper wire from a manufacturer are analyzed pertaining to strength and conductivity. The results from 75 strands are as follows:

Substantial conductivity

Low conductivity

Durability

High

Low

74

almost eight

15

several

(a) If a strand is definitely randomly chosen, what is the probability that its conductivity is excessive and its power is substantial? P (High conductivity and high strength)= 74/100 =0. 74

(b) If a follicle is arbitrarily selected, what is the probability that it is conductivity is usually low or perhaps its strength is low? P (Low strength or perhaps low conductivity) 
= P(Low conductivity) + P(Low strength) – P(Low conductivity and low strength) = (15+3)/100 + (8+3)/100 – 3/100
= 0. twenty six

(c) Consider the event that a strand features low conductivity and the function that the follicle has low strength. Will be these two 
events mutually exclusive? 
 No, they are not mutually exclusive.

Because P(Low conductivity) + P(Low strength) sama dengan (15+3)/100 + (8+3)/100
= zero. 29, that is not equal to P(Low conductivity and low strength). 


2-106. A repair firm offers gathered this information about the failure systems for air conditioning system:

Proof of electrical failing

Evidence of gas leaks

Yes

No

Certainly

55

seventeen

No

32

3

The units with no evidence of gas leaks or perhaps electrical failure showed various failure. If this sounds a representative sample of ALTERNATING CURRENT failure, locate the probability
 (a) That failure entails a gas leak


G (gas leak) = (55 + 32)/107 = zero. 813


(b) That there is facts...