Question

We have a normal probability distribution for variable x with μ = 24.8 and σ = 3.7. For each of the following, make a pencil sketch of the distribution & your finding. Using 5 decimals, find: (a)[1] PDF(x = 30);   [use NORM.DIST(•,•,•,0)]

(b)[1] P(x ≤ 27);   [use NORM.DIST(•,•,•,1)]

(c)[1] P(x ≥ 21);   [elaborate, then use NORM.DIST(•,•,•,1)]

(d)[2] P(22 ≤ x ≤ 26);   [elaborate, then use NORM.DIST(•,•,•,1)]

(e)[3] P(20 ≤ x ≤ 28);   [z‐scores, then use NORM.S.DIST(•,1)]

(f)[1] x* so that P(x ≥ x*) = 0.05; [use NORM.INV(•,•,•)]

(g)[1] x** so that P(x ≤ x**) = 0.1. [use NORM.INV(•,•,•)]

Answer 1