Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • The weekly wages of 2000 workmen are normally distributed with mean wage of Rs 70 and wage standard deviation of Rs 5. Estimatethe number of workers whose weekly wage are a.between Rs 70 and Rs 71 b. between Rs 69 and Rs 73 c. more than Rs 72, and d.less

The weekly wages of 2000 workmen are normally distributed with mean wage of Rs 70 and wage standard deviation of Rs 5. Estimatethe number of workers whose weekly wage are a.between Rs 70 and Rs 71 b. between Rs 69 and Rs 73 c. more than Rs 72, and d.less than Rs 65

Answers (1)

best_answer

N=2000,;Mean;wage=mu=Rs;70\*Standard;deviation;of;wages, sigma=Rs;5\* a);X_1=70;and;X_2=71\* Z_1=fracX_1-musigma= frac70-705=0\* Z_2=fracX_2-musigma=frac71-705=0.2\*Probability;of;a;person;having;wages;between;Rs;70;and;Rs;71=\*P(Z_1leq Zleq Z_2)P(0<=Z<= 0.2)=Z;Table(0.2)=0.0793 \*Number;of;persons;with;wages;between;Rs;70;and;Rs;71=0.0793 imes N=0.0793 imes 2000 = 158.6\* So,;answer;is;158;persons\* b); X_1=Rs;69;and;X_2=Rs;73\* Z_1=frac69-705=-0.2\* Z_2=frac73-705=0.6\* Probability(69<X<73)=Probabilty(-0.2leq Zleq 0.6)\* Rightarrow P(-0.2leq Zleq 0.0) + P(0leq Zleq 0.6)\* Rightarrow P(0<Z<0.2)+P(0leq Zleq 0.6)\*Rightarrow 0.0793 + 0.2257 = 0.305\* So,;Number;of;persons;with;wages;between;69;&;73=2000 imes 0.305=710\*Similarly,;find;for;other\*

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question