Answer:
0.0228
Step-by-step explanation:
Given that [tex]\mu=70, \sigma=2.5[/tex]
-Let X be the height of the randomly selected man.
-The probability that X>75 inches is calculated as:
[tex]P(X>75)=P(z>\frac{X-\mu}{\sigma})\\\\=P(z>\frac{75-70}{2.5})\\\\=P(z>2)\\\\\therefore P(X>75)=1-P(X<75)\\\\=1-0.97725\\\\=0.0228[/tex]
Hence, the probability that a random pick is taller than 75 inches is 0.0228
