SOLUTION: Test scores on a math exam are normally distributed with a mean of 82 and a standard deviation of 5.5. Using a z-score, find the probability that a randomly selected student attain

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Question 1178337: Test scores on a math exam are normally distributed with a mean of 82 and a standard deviation of 5.5. Using a z-score, find the probability that a randomly selected student attained these scores:
a. at least 84
b. no more than 73

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi
Normal Distribution:    μ = 82      σ = 5.5
Continuous Curve
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus

P(x ≥ 84) = 1 - P(x ≤ 84) = 1 - normalcdf(-9999, 84, 82, 5.5) = 1- .6419 = .3581

P(x ≤ 73) =  normalcdf(-9999, 73, 82, 5.5) = .0509

Wish You the Best in your Studies.


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