Yes, this is question 5 on page 106 of statistics and probability with applicati
ID: 1814414 • Letter: Y
Question
Yes, this is question 5 on page 106 of statistics and probability with applications for engineers and scientist by Gupta and Guttman.
Ten defective items are known to be in a box of 100 items.
A. if they are located by testing the items one at a time until all defectives are found, what is the probablility that the 10th (last) defective item is located when the 50th item is tested?
B. What is the probability that if 50 items are drawn at random from the box and tested, all 10 defectives will be found?
C. If 20 are tested and found to be non-defective, what is the probability that all defectives will be found among the next 30 tested?
Explanation / Answer
explanation for above is
1 . assume 5oth drawn is not deffective and caluculate the probability of that and negate it from 1 which gives probability the drawn ball is defective .
2. all 10 defective we can select in 10c10 ways and remaining 40 we can select from 90 in 90c40 ways and total no.of ways we can select is 100c50
3.similar to second one but here we have only 80 items out of which 10 are deffecive apply similar to second one
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