Hi, Re reply: P(z ≤ 1.7)= NORMSDIST(1.7)(Excel)
0rP(z ≤ 1.7)= normalcdf(-10,1.7)(TI Calculator) See Graph Below
z = (117-100)/10 = 1.7. P(z>1.7) = 1 - P(z ≤ 1.7) = 1 - .9554 = .0446 0r 4.46%
B) find the probability that of 49 randomly selected people, their average IQ is less than 105.
z =
P(z ≤ 3.5) = .9554 0r 95.54%
z = 1.7
Note: P(z ≤ 1.7) is the Area under the Normal Curve to the 'left' of Blue Line
P(z > 1.7)is the Area under the Normal Curve to the 'right' of Blue Line