The credit risk department of a major bank estimates the default rate on loans under $10,000 to be 2%. A random sample of 1600 new loans under $10,000 is going to be ^P be the proportion of defaults on the loans in the sample.

a). Find the mean of ^p=

b). Find the standard deviation of ^p.

c). Compute an approximation for P(^p >O.3) , which the probability that 3% or more of the loans in the sample will be defaulted on. Round your answer to 4 decimal places.