Your company buys 500 fluorescent light bulbs from two different suppliers. Supplier A’s bulbs have an average lifetime of 2000 hours and supplier B’s bulbs have an average lifetime of 5000 hours. Both suppliers’ bulbs have exponentially-distributed lifetimes. Supplier A provided 60% of the bulbs.
1. After six months of continuous use, how many of Supplier A’s original bulbs are expected to still be working? Round to the nearest tenth
2. After six months of continuous use, how many of the original 500 bulbs are expected to still be working? Round to the nearest tenth
3. After six months of use, what fraction of the original bulbs that are still working are expected to be from Supplier A? Round your answer to two decimal places.
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