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aleksklad [387]
3 years ago
5

20000/1 × 7/15000× 1/56

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

1/6

Step-by-step explanation:

It'd be slightly easier to do this computation if we were to write it as follows:

20,000           7             1

------------ * ------------- * ------

     1            15,000       56

20,000/15000 reduces to 20/15, or 4/3, and 7/56 reduces to 1/8.

                            4         1

Thus, we have  ------ * -------

                             3        8

which in turn reduces to 1/6.

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Step-by-step explanation:

A car holds 4 people

For 34 people :

34 ÷ 4 = 8 1/2

We canmot put 8 1/2 cars so it's 9. There will just be 2 extra seats.

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An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that
qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100

#First find F_x and probability distribution function ,f_x(x):

F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}

#Have determined the probability distribution unction ,f_x(x), we calculate the Expectation of the random variable X:

E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200}  dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\

#We then calculate E(X^2):

E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28

Hence, the Var(X) is 764.28  

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