Selasphorus sasin is the scientific name for what is commonly called (Allen's hummingbird). THis hummingbird lives on the west coast of the united states an is maned after C. A.Allen.

Let x be a random variable that represents the incubation tone for the Allen Hummingbirds eggs. The x distribution has amen of μ = 16 days. The distribution os x values isomer or less mounds aped and symmetrical but not necessarily normal. Suppose that we have n = 30 eggs in an incubator. Let x be the average incubation time for these eggs.

a) what can we say about the probability distribution of x? Isis approximately normal? What are the mean and standard deviation?

b) what is the probability that x is between 16 and 17days?

c) what is the probability that x is less than 15 days?