@ Do Hiv newark Actam Groom\'·Goople Chrome www.mathxl MATH 1127: Introduction t

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@ Do Hiv newark Actam Groom'·Goople Chrome www.mathxl MATH 1127: Introduction to Statistics-CRN: 11065 Homework: Section 5.2 Homework Score: 0 of 12 pts 5.2.7-T In a survery of a group of mon, the heights in tha 20-29 age group were normaly distibuted, with a mean of 60.7 nches and a standard deviation of 2.0inches A 3of9(3 compline) HW Score: 25%, 25 ot 100 pts study participant is randomly selected. Complete parts (a) through (d) below (a) Find the probablity that a study particpant has a height that is less than 68 inches The probabilily that the study participant selected st random is lesa than 68 indhes tall is 3032 IRound to four decimal piaos as needed) b) Find the probabilny that a study participant has a height that s between 68 and 71 nches (Round to four decimal places as needed.) S particapert selected at random betaeen 68 ard 71 rehas tal Enter your answer in the answer box and then click Check Answer Cloar Al 10/8 201

Explanation / Answer

Mean is 68.7 and s is 2. z is calculated as (x-mean)/s

a) P(x<68)= P(z<(68-68.7)/2)=P(z<-0.35) =1-P(z<0.35), from normal distribution table we get 1-0.6358 =0.3642

b) P(68<x<71) =P((68-68.7)/2<z<(71-68.7)/2) =P(0.35<z<1.15)= P(z<1.15)-P(z<0.35) =0.8749-0.3642=0.5107

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