Question

The weights of steers in a herd are distributed normally. The variance is 90,00090,000 and the mean steer weight is 1200lbs1200⁢lbs. Find the probability that the weight of a randomly selected steer is greater than 1020lbs1020⁢lbs. Round your answer to four decimal places.

Answer 1

µ =    1200                  
σ =    300                  
                      
P ( X ≥   1020   ) = P( (X-µ)/σ ≥ (1020-1200) / 300)              
= P(Z ≥   -0.60   ) = P( Z <   0.600   ) =    0.7257   (answer)

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