Answer:
a. 0.5
Step-by-step explanation:
We know that X follows normal distribution with
mean=75
standard deviation=8
[tex]P(X\geq 75)=P(\frac{x-mean}{standard deviation}\geq \frac{75-75}{8})[/tex]
[tex]P(X\geq 75)=P(Z\geq 0)[/tex]
[tex]P(Z\geq 0)=[/tex]P(0<Z<∞)
The area under the normal curve is 1 and the (0<Z<∞) =0.5 and (-∞<Z<0) =0.5
So, P(0<Z<∞)=0.5
Hence the P(X ≥ 75)=0.5
