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.
<h3>What is probability?</h3>
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.
<h3>Calculation:</h3>
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
#SPJ4
