Answer:
Probability that the mean GPA for 64 randomly selected BYU- Idaho students will be less than 3.5 = 0.037
Explanation:
Given that mean = 3.7 , Standard deviation = 0.1125
Now,
P(хbar < 3.5 ) = P(z < [tex]\frac{3.5 - 3.7}{0.1125}[/tex] )
= P(z<-1.78)
= 0.0375
≈ 0.037
∴ we get
Probability that the mean GPA for 64 randomly selected BYU- Idaho students will be less than 3.5 = 0.037
