Question

1% of the parts produced by a factory are defective. Suppose that a test for defective parts has a 99.5% accuracy and 0.6% false positive rate. Suppose that you pick a part and receive a positive test result. What is the probability that the part is indeed defective? Pick ONE option 0.6259 0.6262 0.6678 0.6266​

Answer 1

Answer:

% of the parts produced by a factory are defective. Suppose that a test for defective parts has a 99.5% accuracy and 0.6% false positive rate. Suppose that you pick a part and receive a positive test result. What is the probability that the part is indeed defective? Pick ONE option 0.6259 0.6262 0.6678 0.6266

Step-by-step explanation:

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Answer 2

Class 12>>Applied Mathematics>>Standard Probability Distributions>>Mean and Variance of Binomial Distribution>>Suppose a machine produces ...

Question

Suppose a machine produces metal parts that contain some defective parts with probability 0.05. How many parts should be produced in order that the probability of atleast one part being defective is 21 or more? 

(Given that, log1095=1.977 and log102=0.3) 

This question has multiple correct options

A

11

B

12

C

15

D

14

Hard

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Solution

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Correct option is

C

15

D

14

Given probability of defective part =0.05=201

Probability of non-defective part =1−0.05=0.95=2019,We know that, P(X=r)=nCrPrqn−r

Where, p=201,q=2019

r≥1 and n=?

Also, P(X≥1)≥21

⇒1−

Answer:

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