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Need calculation for What is the probability that the mean GPA for 64 randomly selected BYU- Idaho students will be less than 3.5? Round your answer to three decimal places.

Respuesta :

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

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