In a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping
to limit the exposure children, under the age of 15 have to a virus. As she explores options, she conducts a study.
If a random sample of 33 children under the age of 15 are chosen, use the graph below to calculate the probability that
more than 62% of them had a cold last winter.
1. Drag and move the 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 area between
graphs.);
2. Use the Central Limit Theorem to find p and σp;
3. Calculate the z-score for p and move the slider along the x-axis to the appropriate z-score;
4. The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the
curve.
Round all answers to three decimal places except the z-score, which should be rounded to two decimal places.