Answer:
B. About 2% of the boys are eligible to be a small forward on the team
Step-by-step explanation:
Recall : 1 feets = 12 inches
Point guard = 6’2" – 6’6" tall = 74 - 78 inches
Mean = 70 ; Standard deviation = 4
Z = (x - mean) / standard
P(x < 74) = (74 - 70) / 4 = 1
P(x < 78) = (78 - 70) / 4 = 2
0.97725 - 0.84134 = 0.13591
Small forward : 6'6" = 78 inches
P(x ≥ 78) = (78 - 70) / 4 = 2
P(z ≥ 2) = 0.02275 = 2.275% about 2%
Centre : 6'8" = 80
P(x ≥ 80) = (80 - 70) / 4 = 2.5
P(z ≥ 2.5) = 0.0062097 = 0.62%
