Respuesta :
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;
[tex]\begin{gathered} Expected\text{ }Value(faulty)=\frac{7}{10} \\ \\ Expected\text{ }Value\text{ }(faulty)=0.7 \end{gathered}[/tex]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;
[tex]\begin{gathered} Expected\text{ }faulty=785\times EV \\ \\ Expected\text{ }faulty=785\times0.7 \\ \\ Expected\text{ }faulty=549.5 \\ \\ Expected\text{ }faulty\approx550\text{ }(rounded\text{ }to\text{ }the\text{ }nearest\text{ }whole\text{ }number) \end{gathered}[/tex]Therefore, rounded to the nearest whole number, the number of expected faulty sump pumps will be 550.
ANSWER:
[tex]550[/tex]