Question

Suppose the great point averages of undergraduate students at one university have a bell shaped distribution with a mean of 2.62 and a standard deviation of 0.43 using the empirical rule what percentage of the students have grade point averages that are at least 1.76 please do not round your answer

Answer 1

Remember that

z =(x - μ)/σ

where

μ=2.62

σ=0.43

For X=1.76

Find out the value of z

z=(1.76-2.62)/0.43

z=-2

using z-score table values

we have that

P(X≥1.76)=0.47725+0.50=0.97725

Convert to percentage

97.725%