terasmom74
Answered

Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.

Approximately what percent of the adult pandas weight over 250 pounds?

Answer :

LammettHash
[tex]\mathbb P(X>250)=1-\mathbb P(X\le250)[/tex]

[tex]\mathbb P(X\le250)=\mathbb P\left(\dfrac{X-200}{20}\le\dfrac{250-200}{20}\right)=\mathbb P(Z\le2.5)\approx0.9938[/tex]

which means

[tex]\mathbb P(X>250)\approx1-0.9938=0.0062[/tex]

so approximately 0.62% of pandas weight over 250 pounds.
jaylenegomez

Answer:

0.62%

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