There are 200 packets in a large box and each packet contains 3 electric devices in it- On testing- at the time of packing- it was noted that there are some faulty pieces in the packets- The data is as below array - c - c - Number of batteries - 50 - 240 - 550 - 160 - 1000 illhlinelend array i If a buyer will only tolerate atthe maximum one faulty piece in a packet- what is the probability that a packet will be rejected-ii Another buyer will only take packets with all the pieces functional- What is the probability that a packet will be rejected- -4 MARKS-

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Standard IX

Mathematics

Coin Tossing Experiment

There are 200...

Question

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below

$\begin{matrix} No of faulty devices in a packet & Less than 24 & 24 - 36 & 36 - 48 & more than 48 & Total Batteries Number of batteries & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

(i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected?
(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

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Solution

Concept: I Mark
Solution: 1.5 Marks each

Packets with more than one defective piece = 15 + 5 = 20
(i) Probability that the first buyer will reject a packet = 20/200 = 0.1
Packets with at least one piece that is defective = 15 + 5 + 25 = 45
(ii) Probability that the second buyer will reject a packet = 45/200 = 0.225

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