A poll agency reports that 52% of teenagers aged 12-17 own smartphones. A random sample of 200 teenagers is drawn. Round your answers to at least four decimal places as needed. Round your answers to at least four decimal places as needed.

a. Find the mean.

b. Find the standard deviation.

c.Find the probability that more than 55% of the sampled teenagers own a smartphone.

d. Find the probability that the proportion of the sampled teenagers who own a smartphone is between

0.49 and 0.55.

e.Find the probability that less than 55% of sampled teenagers own smartphones.

Round your answers to at least four decimal places as needed.