Answer:
the probability that the satellite fails is 0.0124
Step-by-step explanation:
The manufacturer of the satellite defines a success as a firing in which the satellite comes within 10 feet of the target.
This means that success has the [tex]\frac{10}{4}=2.5[/tex] standard deviations range in the error distribution.
Z-scores of the Ranges not within -2.5 and 2.5 can be considered as fail and the probability of this is:
P(z>2.5) + P(z<-2.5) = 2 × P(z>2.5) = 2 × 0.0062 = 0.0124
