In a large city,70%

of people own a cell phone. A sociologist wishes to study the impact cell phones have on society. To get started, the sociologist randomly samples45

people in the city.

Use the graph below to calculatethe probability that of those45

people sampled, between33

and36

of them own a cell phone.

1. Drag and movethe blue dot to select the appropriate probability graph area from the four options on the left.(Note - there are four graphs available to choose from. Only select between less than, greater than, and areabetween graphs.);
2. Use the Central Limit Theorem to findp^ andp^;
3. Calculate thez-score forp^ and move the slider along thex-axisto the appropriatez-score;
4. The purple area under the curverepresents the probability of the event occurring.Interpret the purple area under the curve.

Round your answers to two decimal places.

Provide your answer below:

$\sigma_{p}=\ $

p

=

$P\left(33\le X\le36 ight)=\ $

P(33X36)=