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lianna [129]
3 years ago
9

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

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Hey there mate :)

Analysis :

401 = 515 - 114 = u - 6

And

173 = 515 - 3.114 = u - 36

=  \frac{p(u - 36 < u < u + 36) - p(u - 6 < u < u + 6)}{2}

=  \frac{99.73percent - 68.21percent}{2}

=  \frac{31.46percent}{2}

= {15.73percent}

Then, calculating,

u - 26 = 515 - 2 \times 114 = 287

And

u + 26 = 515 + 2 \times 114 = 743

Then,

The \: Range = (287,743)

Final Answers :-

<u>1</u><u>5</u><u>.</u><u>7</u><u>3</u><u> </u><u>%</u>

<u>(</u><u>2</u><u>8</u><u>7</u><u>,</u><u>7</u><u>4</u><u>3</u><u>)</u>

~Benjemin360

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