A biologist estimates that 40% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 124 or fewer deer have this tick?
μ = n · p = 300 · 0.40 = 120
σ = √( n · p · q ) = √( 300 · 0.40 · 0.60 ) = 8.485
z-score = [ 124 - 120 ] / [ 8.485 / √300 ]
Find this z-value; and find the normalcdf value for a z-value of this size or smaller.
