# SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114. a) What percentage of SAT scores is between 401 and 629b) What percentage of SAT score is less than 401 or greater than 629?

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SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

a) What percentage of SAT scores is between 401 and 629

b) What percentage of SAT score is less than 401 or greater than 629?

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Step 1

a.

The percentage of SAT scores is between 401 and 629 is 0.6826 and it is calculated below:

From the given information, let us define the rand... help_outlineImage TranscriptioncloseP(401 Xs629) P(X< 629)-P(X< 401) 401-515 629-515 = P zS - PzS _ 114 114 =P(z 1)-P(z-1) From standard normal table, P(z <-1)0.1587 0.8413-0.1587 P(z1)=0.8413 0.6826 fullscreen

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