Quality control: A population of 610 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. Lot A B C Conforming 93 164 266 Send data to Excel Nonconforming 21 39 27 4 (a) What is the probability that the wafer is from Lot C? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot C and is conforming? (d) Given that the wafer is from Lot C, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot C? (f) Let E, be the event that the wafer comes from Lot C, and let E₂ be the event that the wafer is conforming. Are E, and E₂ independent?

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Quality control: A population of 610 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a
thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a
decimal, rounded to four decimal places.
70°F
SC
Clear
Lot
A
F1
B
C
Send data to Excel
Conforming
93
164
266
Part: 0/6
(a) What is the probability that the wafer is from Lot C?
(b) What is the probability that the wafer is conforming?
(c) What is the probability that the wafer is from Lot C and is conforming?
(d) Given that the wafer is from Lot C, what is the probability that it is conforming?
(e) Given that the wafer is conforming, what is the probability that it is from Lot C?
(f) Let E, be the event that the wafer comes from Lot C, and let E₂ be the event that the wafer is conforming. Are E, and E₂ independent?
Next Part
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Transcribed Image Text:Quality control: A population of 610 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. 70°F SC Clear Lot A F1 B C Send data to Excel Conforming 93 164 266 Part: 0/6 (a) What is the probability that the wafer is from Lot C? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot C and is conforming? (d) Given that the wafer is from Lot C, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot C? (f) Let E, be the event that the wafer comes from Lot C, and let E₂ be the event that the wafer is conforming. Are E, and E₂ independent? Next Part @ 2 F2 3 Nonconforming 21 F3 F4 $ 39 27 4 F5 % 5 H F6 *+ 6 OL F7 & 7 0 F8 * 8 4 F9 F10 ( 9 Submit Assignment Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility F11 ) 0 F12 Insert + = PrtSc Delete Backspace Home ► 11 ^ G Num Lock ☎ (1) o End 10:5 9/19/ PgUp 144
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The given contingency table is,

Statistics homework question answer, step 1, image 1

From the table, the total no.of wafers is, 610

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