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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

Suppose The Great Point Averages Of Undergraduate Students At One University Have A Bell Shaped Distribution With A Mean Of 262 And A Standard Deviation Of 043 class=

Answer :

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%

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