Question

an item is manufactured by a certain process that has probability 0.10 of being defective. true or false if a sample of 100 items is drawn, exactly 10 of them will be defective

Answer 1

It is true that if a sample of 100 items is drawn, exactly 10 of them will be defective. The probability of being defective is given by 0.10.

What is probability?

The ratio of the number of required outcomes to the number of total outcomes of an event is called the probability of the event.

I.e., P(K) = n(K)/n(S)

Where K is an event; S is the sample space.

Calculation:

It is given that,

The probability of being defective items = 0.10

Consider the defective items as D; S is the sample of items;

Then, we can write

P(D) = n(D)/n(S)

But we have P(D) = 0.10

So,

0.10 = n(D)/n(S)

⇒ n(D)/n(S) = 10/100

Comparing both sides,

n(D) = 10; and n(S) = 100;

Thus, the number of defective items is 10 per a sample of 100 items.

Therefore, the given statement is true.

Learn more about the probability here:

brainly.com/question/251701

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