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4 years ago

14

-) In a poll, 9 out of 25 students in Lydia's science class say they will vote for her for class president.

1 answer:

V125BC [204]4 years ago

0 0

A) Divide and compare in decimal form -
9/25 = 0.36
4/6=2/7 = 1/4 = 0.25
0.6... > 0.25

B) Fraction to decimal conversion:
4/16 = 2/8 = 1/4 = 0.25

Use long decision or a calculator - 1 divided by four

C) Again, 9/25 = nine divided by twenty-five = 0.36

% Science class)

0.36 = 36%
Move decimal place to right twice and place “%” at the end.

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You can compute both the mean and second moment directly using the density function; in this case, it's

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Then the mean (first moment) is

$E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x\,\mathrm dx=710$

and the second moment is

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The second moment is useful in finding the variance, which is given by

$V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2=\dfrac{1,513,900}3-710^2=\dfrac{1600}3$

You get the standard deviation by taking the square root of the variance, and so

$\sqrt{V[X]}=\sqrt{\dfrac{1600}3}\approx23.09$

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