SOLUTION: Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 103 eligible voters aged​ 18-24 are randomly selected. Suppos

Algebra.Com
Question 1154134: Use a normal approximation to find the probability of the indicated number of
voters. In this​ case, assume that 103 eligible voters aged​ 18-24 are randomly
selected. Suppose a previous study showed that among eligible voters aged​ 18-24,
22% of them voted.
Probability that exactly 28 voted

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Use a normal approximation to find the probability of the indicated number of
voters. In this​ case, assume that 103 eligible voters aged​ 18-24 are randomly
selected. Suppose a previous study showed that among eligible voters aged​ 18-24,
22% of them voted.
Probability that exactly 28 voted


The desired approximation is the probability that x lies between 27.5 and 28.5,
using those values of the mean and standard deviation. 



Get the z-scores for those two values and we find that it equals:



That gives 0.4177-0.3749 = 0.0428

The TI-83 or TI-84 calculator gives a more accurate answer than can
be gotten through tables.  They both round to 0.04.  So 4% is about
as close as you're going to get.

Edwin



RELATED QUESTIONS

Can someone please help? Use a normal approximation to find the probability of the... (answered by stanbon)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by ikleyn)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by ewatrrr)
Use a normal approximation to find the probabilty of the indicated number of voters. In... (answered by ewatrrr)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by CPhill)