a bin contains 75 light bulbs of which 6 are defective. if 6 light bulbs are ran

Question

a bin contains 75 light bulbs of which 6 are defective. if 6 light bulbs are randomly selected from the bin with replacement find the probability that all the bulbs selected are good ones . round to the nearest thousandth if necessary 165 1896) https://www ns.hdccmsluknt"nerletaspx hrstkl . ure MATH-130-ONLINE Fall 2017 Quiz: Quiz 4 (Chapter 4) Time Remaining: 00:4427 Submit Qu This Question: 1 pt 3or sa complete ) This Quiz: 5 pts poss A bin contars 75 ight bubs of which 6 are dedctive iIt 6 ligh bus ane randomly selected thom the te wth replacement, find the probability that all the buitbs selected are good ones to the nearest thousandth d necessary O A 0000 Click to select your answer

Explanation / Answer

A bin contains 75 light bulbs of which 6 are defective.

Which means that (75-6) = 69 bulbs are good bulbs.

Probability of selecting one good bulb out of 75 is 69 / 75

Since repititions are allowed, probability for each good bulb is same.

Therefore

p( selecting all 6 good bulbs out of 75) = (69/75)6

= 0.606 (rounded to nearest thousands).

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