SOLUTION: I need help with formulas and how to apply them to this type of question The average age of Chief police is 56 years. Assume the variable is normally distributed. If the standar

Algebra ->  Probability-and-statistics -> SOLUTION: I need help with formulas and how to apply them to this type of question The average age of Chief police is 56 years. Assume the variable is normally distributed. If the standar      Log On


   

Question 1031823: I need help with formulas and how to apply them to this type of question
The average age of Chief police is 56 years. Assume the variable is normally distributed. If the standard deviation is four years, find the probability that the age of a randomly selected Chief will be in the following range.
a. Between 53 and 59 years old
b. Between 58 and 63 years old
c. Between 50 and 55 years old
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

TI syntax is normalcdf(smaller, larger, µ, σ).

Mean 56  SD = 4

a. Between 53 and 59 years old: 

P(53 ≤ x ≤ 59)= normalcdf(53, 59, 56, 4)=.5467

 b. Between 58 and 63 years old:  

P(58 ≤ x ≤ 63)= normalcdf(59, 63, 56, 4) = .1857

 c. Between 50 and 55 years old:  

P(50 ≤ x ≤ 55)= normalcdf(50, 55, 56, 4) = .3345