Please show carefully detailed work, including how the areas under the normal curve were found and calculated.
Assume that the distribution of age in the population is approximately normal with a mean of 34.7 years and a standard deviation of 3.4 years. Find the following probabilities/percentiles
i) P (Age ≥ 40)
ii) P (30 ≤ Age ≤ 40)
iii) P (Age ≤ 30)
iv) Age that corresponds to the 90th percentile
v) Age that corresponds to the 25th percentile
vi) Age that corresponds above the 25th percentile