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Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 3.5 inches, what percentage of women are shorter than 68.5 inches

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nuhulawal20

Answer: the percentage of women that are shorter than 68.5 inches is 84.1%

Step-by-step explanation:

Given that;

mean μ = 65

standard deviation σ = 3.5

percentage of women are shorter than 68.5 inches = ?

P( x < 68.5 ) = P(( x-μ)/σ)

we substitute

⇒ ( 68.5-65)/3.5)

⇒ P(z < 1)

form standard normal table

P( x < 68.5 ) = P(z < 1) = 0.84134 ≈ 84.1%

Therefore, the percentage of women that are shorter than 68.5 inches is 84.1%

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