The Uniform Distribution · Exercise 35

For each probability and percentile problem, draw the picture.

The age of a first grader on September 1 at Garden Elementary School is uniformly distributed from 5.8 to 6.8 years. We randomly select one first grader from the class.

(a) Define the random variable. X = _________
(b) X ~ _________
(c) Graph the probability distribution.
(d) f(x) = _________
(e) μ = _________
(f) σ = _________
(g) Find the probability that she is over 6.5 years old.
(h) Find the probability that she is between four and six years old.
(i) Find the 70^th percentile for the age of first graders on September 1 at Garden Elementary School.

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

OpenStax, Introductory Statistics 2e · §5.2 The Uniform Distribution · Exercise 35