Soundtronics is a company that manufactures inexpensive headphones at a high volume. due to the high production rate, some of the headphones are defective when they come off of the production line. the probability that a set of headphones is defective is 0.39%. find the probability that one of the first 30 sets of headphones are defective. a.11% b.12% c.70% d.99%

The correct answer is 11%

10.44%

Step-by-step explanation:

Given that

Soundtronics is a company that manufactures inexpensive headphones at a high volume. Due to the high production rate, some of the headphones are defective when they come off of the production line. The probability that a set of headphones is defective is 0.39%.

Let X be the no of defectives in the set of 30 sets.

THen since each set is independent of the other and if being defective is considered as a success,

then X is binomial with

The probability that one of the first 30 sets of headphones are defective.

=30C1pq^29

=0.1044

No option given matches with this

Answer is 10.44%

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: