rishiganesh
21.02.2020 •
Mathematics
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 129 disks are summarized as follows:
shock Resistance
High Low
Scratch high 71 14
Resistance low 16 28
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. Round your answers to two decimal places (e.g. 98.77).
Find
1. P(A)
2.P(B)
3.P(A')
4.P(A ∩ B)
5. P(A U B)
6. P(A' U B)
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Ответ:
The values are given as
P(A)=0.67
P(B)=0.66
P(A')=0.33
P(A∩B)=0.55
P(AUB)=0.78
P(A'UB)=0.88
Step-by-step explanation:
As from the given data
| Shock Resistance
| High | Low | Total
Scratch | High | 71 | 14 | 85
Resistance | Low | 16 | 28 | 44
Total | 87 | 42 | 129
As A=High Shock Resistance and B=High Scratch Resistance thus the values are calculated as
P(A)=87/129=0.67
P(B)=85/129=0.66
P(A')=1-P(A)=1-0.67=0.33
P(A∩B)=71/129=0.55
P(AUB)=P(A)+P(B)-P(A∩B)=0.67+0.66-0.55=0.78
P(A'UB)=P(A')+P(B)-P(A'∩B)=(42/129)+0.66-(14/129)=0.88
Ответ:
If I do not like math, then I do not like science
Step-by-step explanation:
we know that
To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement
In this problem we have
"If I like math, then I like science"
therefore
the inverse is
If I do not like math, then I do not like science