MATH 3670 Midterm: MATH 3670 GT mid3770 2 Spring10

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15 Feb 2019
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A costumer purcahases 10 bulbs from a shop. A working bulb has a probability of breaking down during the rst month of use equal to q = 0. 1. Write the conditional probability requested using the product formula. ) Our costumer uses the 10 bulbs in a room where they are connected in series as shown in the gure. bulb bulb bulb. Express the events {the light does not go on} and {the rst bulb is not working} in term of the ai. Assume now that you have two rooms (room 1 and room 2) identical to the one described above, i. e. each with ten bulbs connected in series. Each room has its own power supply and its own switch. Our costumer buys 20 bulbs and we know that exactly two of them are not working: when both switches are closed, what is the probability that the light will go on only in.