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3 years ago

3/7 divided 1 1/6 Please help

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

18/49 or 0.367

Step-by-step explanation:

1 (1/6)=7/6

now,

3/7 ÷ 1 (1/6)

=3/7 ÷ 7/6 [∵1 (1/6)=7/6]

=3/7 x 6/7

=18/49

=0.367

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For thi case we have the following distribution given:

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P(X) 0.207 0.367 0.227 0.162 0.036 0.001

For this case the expected value is given by:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$\mu =E(X) = 0*0.207+1*0.367+ 2*0.227+ 3*0.162+ 4*0.036+ 5*0.001= 1.456$

For the variance we need to calculate first the second moment given by:

$E(X) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.207+1^2*0.367+ 2^2*0.227+ 3^2*0.162+ 4^2*0.036+ 5^2*0.001= 3.33$

And the variance is given by:

$\sigma^2 = E(X^2) - [E(X)]^2 = 3.334 -[1.456]^2 =1.21$

And the deviation is:

$\sigma = \sqrt{1.214} = 1.10$

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