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3 years ago

Would you measure the length of a bench in centimeters or in meters. explain you choice

Mathematics

2 answers:

kvasek [131]3 years ago

6 0

Centimeters because its smaller than inches and meters are way to long.

Rainbow [258]3 years ago

4 0

Answer:

Meters

Step-by-step explanation:

Reason:

Usually, bench length is bigger than then length of the chair and the table.

So it will be measured using meters. If we use meter it will easy to measure and accurate because it somewhat bigger length than chair and table.

1 meter = 100 centimeters.

The standard length of a bench will 1.5 meters to 2 meters. Usually 3 to 4 people will sit on the bench.

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

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(b) The value of P (X > 20) is 0.1353.

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The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$