Question

A population is normally distributed with u = 200 and o = 20. a. Find the probability that a value randomly selected from this population will have a value greater than 250 P(x > 250) - (Round to four decimal places as needed.) b. Find the probability that a value randomly selected from this population will have a value less than 185.

Answer 1

Find probability using Z-score with help of standard normal distribution table

We get

A) P(X >250) = P(Z>2.5)=0.0062

B) P(X<185) = P(Z<-0.75) = 0.2266

Solution file is attached go through it

Meanr u=200 and Standard deviation = 20 Soll A solution is Normally Distributed with find the prob. using Ziscare = &M of standard Normal Digth table. with help T @ find Probe selected value is greater than 250 > P(x7250)= P(x) 2907800) = P(2725) P(272.5) - 1-P(2525) = 1 - 0.9938 = 0.0062 Hence | P(x 7850)=P(2725) = 0.0062 5 find Rout. (vandumly selected value less than 180 185) » P(x<185) = P(x-Ma 1859200) = P(Z.<-0.75) |P(Z<-0.75)= 0.2266 1 P(x2185) a Plze-0175) = 012266 using Normal Digth table Alence

Thanks