A large candy company has a product that comes in several different colors.
The company claims that the proportion of these candies are colored red is
p=0.33

Suppose a random sample of n=360 candies is gathered. Let p be the proportion
of candies from the sample that are red.
Note: For all parts, keep at least 4 decimals of precision.
a) Find the mean and standard deviation of p.
Hp
op
b) What is the probability that p is less than 0.305?
c) What is the probability that p is higher than 0.365?