The question is kind of all over the place. Can you clear it up a bit because it sound to me that all you have to do is simple addition and subtraction hun.

3 0

3 years ago

The lifetime of a machine part has a continuous distribution on the interval (0, 50) with probability density function f, whe

Strike441 [17]

Answer:

Probability that the lifetime of the machine part is less than 13 = 0.6782

Step-by-step explanation:

given that $f(x)=(10+x)^{-2}$

Normalizing the function we get

$\int_{0 }^{50}cf(x)dx=1$

$\int_{0 }^{50}c(10+x)^{-2}dx=1$

$\therefore a=\frac{1}{\int_{0 }^{50}(10+x)^{-2}dx}$

$\therefore a=12$

$P(x< 13)=\int_{0}^{13}12(10+x)^{-2}dx\\\\P(X< 13)=0.6782$

4 0

2 years ago

If log10 x=2, what is the value of X

PIT_PIT [208]

Answer:

x=100

Step-by-step explanation:

log10 x=2

10^2=x

100=x

8 0

2 years ago

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