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Zepler [3.9K]
3 years ago
14

What is 2.408 rounded to the nearest hundredth

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0
The answer yo your question is 2.41
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Suppose a certain study reported that 27.7% of high school students smoke.
Norma-Jean [14]

<u>Given</u>:

Probability of student smoke,

P = 27.7%

  = 0.277

Number of students,

n = 632

q = 1-p

  =1-0.277

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(i)

Here,

Number of students (n) = 60

then,

⇒ n_P=60\times 0.277

         =16.62

⇒ n_q=60\times 0.723

        =43.38

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Now,

\mu = n_P= 16.62

\sigma = \sqrt{n_{Pq}}

  = \sqrt{60\times 0.277\times 0.723}

  =3.9664

Now,

⇒ P(X

                      =P(Z_{18.5})

The Z-score is:

= \frac{18.5-16.62}{3.4664}

= 0.5423

hence,

The probability will be:

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or,

⇒ P(Z

(ii)

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Number of students (n) = 75

\mu = n_P = 75\times 0.277

            =20.775

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   =3.8756

Now,

⇒ P(X>17) = P(X> 17.5)

                      =1-P(X \leq 17.5)

                      =1-P(Z_{17.5})

The Z-score is:

= \frac{17.5-20.775}{3.8756}

= -0.9740

then, P(Z_{17.5}) = 0.165

hence,

The probability will be:

⇒ P(X>17) = 1-0.165

                      =0.835    

Learn more about probability here:

brainly.com/question/9825651

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