Question

The lumberjack hardware store found that 7 out of every 10 sump pumps they recently received were not properly assembled. If they received 785 sump pumps, about how many sump pumps can they expect to be faulty?

Answer 1

GIVEN:

We are told that 7 out of 10 sump pumps recently received were not properly assembled.

Required;

If the lumberjack hardware received 785 sump pumps, about how many sump pumps can they expect to be faulty?

Step-by-step solution;

For the sample of 10 sump pumps, we can determine the expected value of faulty units as follows;

`\begin{gathered} Expected\text{ }Value(faulty)=(7)/(10) \\ \\ Expected\text{ }Value\text{ }(faulty)=0.7 \end{gathered}`

Hence, when the lumberjack hardware store receives a total of 785 sump pumps, we can expect the number of faulty units to be as shown below;

`\begin{gathered} Expected\text{ }faulty=785* EV \\ \\ Expected\text{ }faulty=785*0.7 \\ \\ Expected\text{ }faulty=549.5 \\ \\ Expected\text{ }faulty\approx550\text{ }(rounded\text{ }to\text{ }the\text{ }nearest\text{ }whole\text{ }number) \end{gathered}`

Therefore, rounded to the nearest whole number, the number of expected faulty sump pumps will be 550.

ANSWER:

`550`