本题中,μ = 600,σ =√10000 = 100 。 -(1)、P{ x < 400 ) =Φ[ ( 400 - 600 )/100 ] = Φ[ -2 ] = 1 - Φ[ 2 ];查表,Φ[ 2 ] = 0.9772,故得分低于400者所占比例低于 2.28% ;(2)、P{ x≥850 ) = 1 - P{ x < 850 ) = 1 - Φ[ ( 850 - 600 )/100 ] = 1 - Φ[ 2.5 ];查表,Φ[ 2 ] = 0.9938,故得分不低于850者所占比例低于 0.62% ;(3)、P{ 450 ≤ x≤ 700 ) = Φ[ ( 700 - 600 )/100 ] - Φ[ ( 450 - 600 )/100 ]= Φ[ 1 ] - [ 1 - Φ[ 1.5 ] =Φ[ 1 ] +Φ[ 1.5 ] - 1 = 0.8413 + 0.9332 - 1 =0.7745;故得分在450-700之间的职工所占比例为 77.45% 。