Normal Distribution

At one college, GPAs are normally distributed with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5?

Correct answer:

p =  68.27 %

Step-by-step explanation:

μ=3.1 σ=0.4 x1=2.7 x2=3.5  z1=σx1μ= z2=σx2μ=  P(x1<X  x2) = P(z1<Z  z2) = 0.6827 P(1 < Z  1) = 0.6827  p=0.6827 100=1006827%=68.27%

Use the normal distribution table.

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Showing 3 comments:
please the solution is not clear

Dr Math
we normalize to z score, so +- one sigma, Probability of normal distribution from -sigma to +sigma is 0.6827

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