b) What is the probability that the clear height is less than 13 feet?

             x < 13 feet

P(x < 13 | µ = 22 and  = 4) = ?

 

 

= = 2.25

 

Probability value for z = 2.25 is 0.4878 = 0.5000 - 0.4878 = 0.0122.

 

c) What is the probability that the clear height is between 25 and 31 feet?

P(25 ≤ x ≤ 31 | µ = 22 and  = 4) = ?

 

i)  0.75 = 0.2734 (from Table A.5)

ii) = 0.4878 (from Table A.5)

P = 0.4878 – 02734 = 0.2144