Question

Iesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 out of 300 clocks tested were not working properly. Kiesha predicts that she will have enough working clocks to please the manager. Which statements are true about Kiesha’s prediction? Check all that apply.
Kiesha’s experimental probability is 1/30.
Kiesha will have more than 97% of the products working.
Kiesha will not meet 97% because more than 3% of her clocks will be broken.
Kiesha’s experimental probability is 1/50.
When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.

Answer 1

Answer:

• Keisha’s experimental probability is 1/50.
• When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
• Keisha will have more than 97% of the products working.

Step-by-step explanation:

These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.

Base on that information, Keisha can calculate an experimental probability, dividing clocks that don't work properly by the total amount of clocks:

$P_{clocks} = \frac{6}{300}=\frac{1}{50} = 0.02 (or 2\%)$

Therefore, the probability of success is 100% - 2% = 98%.

This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction: from 4000 clocks, 3920 will work. Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.

Answer 2

Kiesha will have more than 97% of the products working.

Kiesha’s experimental probability is 1/50

When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.