Probability using normal distribution.
Hummingbirds Let x be a random variable that represents the incubation time for Allen hummingbird eggs. The x distribution has a mean of µ = 16 days. Let us suppose that the standard deviation is approximately σ = 2 days. The distribution of x values is more or less mound shaped and symmetrical but not necessarily normal. Assume 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 possibility distribution of x? Is it approximately normal? What are the mean and standard deviation?
(b) What is the probability that x is between 16 and 17 days?
(c) What is the probability that x is less than 15 days?