Let's find out how many faulty bags we can expect if a factory makes 600 bags in a day and the probability that a bag has a fault is 11%.
1. Identify the total number of bags produced:
The factory produces 600 bags in a day.
2. Identify the probability of a fault:
The probability that any given bag has a fault is 11%, which we can write as a decimal: 0.11.
3. Set up the calculation to find the expected number of faulty bags:
To find the expected number of faulty bags, we multiply the total number of bags by the probability of a fault.
4. Perform the multiplication:
[tex]\[
\text{Expected faulty bags} = 600 \times 0.11
\][/tex]
5. Determine the result:
[tex]\[
\text{Expected faulty bags} = 66.0
\][/tex]
So, we can expect that 66 bags out of the 600 produced in a day will be faulty.
