SOLUTION: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.μ = 16.0; σ = 4.3 , P(10 ≤ x ≤ 26) =?
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Question 952108: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.μ = 16.0; σ = 4.3 , P(10 ≤ x ≤ 26) =? how do you do this..... Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! P( 10 ≤ x ≤ 26 ) = P( x ≤ 26 ) - P( x ≤ 10), then
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calculate z-value for x ≤ 10
z-value = (10 - 16) / 4.3 = −1.395348837
P( x ≤ 10) = 0.0823
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calculate z-value for x ≤ 26
z-value = ( 26 - 16) / 4.3 = 2.325581395
P( x ≤ 26 ) = 0.9898
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P( 10 ≤ x ≤ 26 ) = 0.9898 - 0.0823 = 0.9075
