# The Rudolph has a mean flying speed of 463 mph, with a standard deviation of 76 mph. These statistical values were established over the past 50 years. Answer the following questions:What proportion of Rudolph's flying speeds is above 500 mph?

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The Rudolph has a mean flying speed of 463 mph, with a standard deviation of 76 mph. These statistical values were established over the past 50 years. Answer the following questions:

What proportion of Rudolph's flying speeds is above 500 mph?

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Step 1

From the given information, mean (μ) =463 mph and standard deviation (σ) =76 mph

Let ‘X’ be a normal distribution random variable.

Step 2

Let’s find,

Proportion of Rudolph’... help_outlineImage TranscriptioncloseX-500-463 P(X>500) 1-P 76 =1-P(Z 0.4868421053) (From p-value calculator) P(X>500) 1-0.3132 P(X>500) 0.6868 or 68.68% fullscreen

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