SOLUTION: Of all the iPods in a large shipment, 2% have a defective battery, 1% has a defective headphone jack, and 0.5% have both defects. If you purchase one at random, find the probabili

Question 323788: Of all the iPods in a large shipment, 2% have a defective battery, 1% has a defective headphone jack, and 0.5% have both defects. If you purchase one at random, find the probability it has each of the following:
a. A defective battery or defective headphone jack.
b. A good battery and good headphone jack.
c. Exactly one fo the two defects.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Of all the iPods in a large shipment, 2% have a defective battery,
1% has a defective headphone jack,
and 0.5% have both defects.
-------------------------------------
If you purchase one at random, find the probability it
has each of the following:
a. A defective battery OR defective headphone jack.
= p(db)+P(hj) - P(db and hj)
= 0.02 + 0.01 - 0.005 = 0.025
======================================
b. A good battery AND good headphone jack.
= P((db)' and (hj)'] = P(db)' + P(hj)' - P((db)' OR (hj)
= 0.98 + 0.99 - 0.995 = 0.97.5
========================================== c. Exactly c. One of the two defects.
====================
Cheers,
Stan H.

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