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Show work please. Scores on a particular test are normally distributed with a mean of 70...

Show work please.

Scores on a particular test are normally distributed with a mean of 70 and an SD of 15. Between what two scores would you expect:

a. 68% of the scores to fall between: ______ and ______?

b. 96% of the scores to fall between: ______ and ______?

Math   Statistics-And-Probability   
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Answer #1

P( - 1< X < + 1) = 68%

P(65 - 1(15) < X < 65 + 1(15)) = 68%

P(50 < X < 80) = 68%

Answer = 50 and 80

(d)

P( - 3< X < + 3) = 96%

P(65 - 3(15) < X < 65 + 3(15)) = 96%

P(20< X <110) = 96%

Answer = 20 and 110

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