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An aircraft seam requires 25 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. a. If 15% of all seams need reworking, what is the probability that a rivet is defective

Respuesta :

Answer:

There is a 0.15 probability that the rivets chosen i s DEFECTIVE.

Step-by-step explanation:

The total number of rivets required = 25

Now, out of the total rivets, 15%  need reworking.

So, the percentage of defective rivets = 15%

Calculating 15% of 25, we get:

[tex]\frac{15}{100} \times 25 = 3.75[/tex]

So, in total 3.75 rivets are DEFECTIVE.

The probability of choosing  a defective rivet  = [tex]\frac{\textrm{The total number of non working rivets}}{\textrm{The total number of rivets used}}[/tex]

[tex]= \frac{3.75}{25} = 0.15[/tex]

So, there is a 0.15 probability that the rivets chosen is DEFECTIVE.

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