Question

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Suppose you have just received a shipment of 19 modems. Although you don't know this, 3 of the modems are defective. To determine whether you will accept the
the Student shipment, you randomly select 6 modems and test them. If all 6 modems work, you accept
the shipment Otherwise, the shipment is rejected. What is the probability of
accepting the shipment?
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The probability of accepting the shipment is I
(Round to four decimal places as needed.)
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Answer 1

Answer:

0.295

Explanation:

Given that:

Total number of modems = 19

Number of defective modem = 3

Non-defective modems = 19 - 3 = 16

Probability of that all selected modems are not defective :

Required outcome / Total possible outcomes

[(16C6) * (3C0)] ÷ 19C6

(8008 * 1) ÷ 27132

8008 / 27132

= 0.2951

Hence,

Probability of accepting the shipment is 0.295