Question 1197760
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Hi  
Normal Distribution: µ = 85 and σ = 21.25
n = 32  (NOte:  Sample Size > 30)
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x > 87) =  normcdf( 87, 9999,  85, 21.25/√32) ={{{ .2972}}}
Or
 {{{z =blue (87 - 85)/blue(21.25/sqrt(32))}}}=  = .5324
 1- P( z ≤.5324) = 1- .7027 = {{{.2972}}}
    
Wish You the Best in your Studies.
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