Assume that the per capita income of residents in a country is normally distributed with mean µ = $1000 and variance σ2 = 10,000 ($ squared).
a. What is the probability that the per capita income lies between $800 and $1200?
b. What is the probability that it exceeds $1200?
c. What is the probability that it is less than $800?
d. Is it true that the probability of per capita income exceeding $5000 is practically zero?