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Tatiana [17]
2 years ago
8

Seven television sets are chosen at random (i.e., without replacement) from a shipment of 240 television sets of which 15 are de

fective. Calculate the probability that at least 1 of the chosen televisions are defective.​
Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

7/16

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Proportion of defective televisions in the shipment = 15/240 = 1/16

Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16

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Step-by-step explanation:

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2 years ago
Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

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Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0
3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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