Using the Normal Distribution · Exercise 38

A social media site provides a variety of statistics on its website that detail the growth and popularity of the site.
On average, 28 percent of 18- to 34-year-olds check their social media profiles before getting out of bed in the morning. Suppose this percentage follows a normal distribution with a standard deviation of five percent.

(a) Find the probability that the percentage of 18- to 34-year-olds who check the social media website before getting out of bed in the morning is at least 30.
(b) Find the 95^th percentile, and express it in a sentence.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §6.2 Using the Normal Distribution · Exercise 38