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X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X > 21)

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प्रश्न

X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X > 21)

योग
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उत्तर

Given X ~ N(µ, σ2)

µ = 30

σ = 4

P(X > 21) =  `"P"("Z" > (21 - 30)/4)`

= P(Z > – 2.25)

= 0.5 + P(– 2.25 < Z < 0)

= 0 5 + P(0 < Z < 2.25)

= 0.5 + 0.4878

= 0.9878

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अध्याय 7: Probability Distributions - Miscellaneous problems [पृष्ठ १७२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 7 Probability Distributions
Miscellaneous problems | Q 8. (b) | पृष्ठ १७२

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