(iii) 0.05. (b) Findthe z-valuesuchthatforanormaldistributiontheintervalfrom z to + z containsprobability (i) 0.90, (ii) 0.95,...

(iii) 0.05.

(b) Findthe z-valuesuchthatforanormaldistributiontheintervalfrom μ − zσ to μ + zσ

containsprobability (i) 0.90, (ii) 0.95, (iii) 0.99.

(c) Findthe z-valuessuchthat μ + zσ is the (i) 75th, (ii) 95th, (iii) 99th percentileofa normal distribution.

(d) Showthattheupperquartileequals μ + 0.6745σ and theinterquartilerangeisIQR =

1.349σ.