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Given a mean of 50 and a standard deviation of 10, determine the probability that a measurement will be greater than 30. Provide your answer as a percentage (do not include the percent sign because this quiz tool will not accept it).

Answer :

Answer:

Required answer is 97.72%.

Step-by-step explanation:

Given mean [tex]\mu =50[/tex] and standard deviation [tex]\sigma =10[/tex]. We need to find [tex]P\left ( X>30 \right )[/tex]. using z score

[tex]z=\frac{X-\mu }{\sigma }=\frac{30-50}{10}=\frac{-20}{10}=-2[/tex]

So,

[tex]P\left ( X>30 \right )=P\left ( X>-2 \right )=P ( Z<2 )=0.9772=97.72\%[/tex]

Required answer is 97.72%.

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