Answer to Question #324274 in Statistics and Probability for Ivan

Question #324274

In a beauty contest, the ages of the contestants are normally distributed with a mean of



24 years and a standard deviation of 1.5. What percent of the contestants have age



between 22.5 and 27 years old?

1
Expert's answer
2022-04-06T17:30:42-0400

P(22.5<x<27)=P(22.5241.5<z<27241.5)=P(1<z<2)=P(0<z<1)+P(0<z<2)=0.3413+0.4772=0.8185the  percentage  is  81.85%P(22.5<x<27)=P(\frac{22.5-24}{1.5}<z<\frac{27-24}{1.5})\\ =P(-1<z<2)\\ =P(0<z<1)+P(0<z<2)\\ =0.3413+0.4772=0.8185\\ the\; percentage\; is\;81.85\%


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog