A.) Give a RATIONAL number between 10 and 11

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

3 years ago

Jenny has three times as much money as Peter. Together they have $44. How much do they each have

DochEvi [55]

Answer:

33 & 11

Step-by-step explanation:

33+11=44

4 0

3 years ago

Read 2 more answers

This question is kind of confusing to me. Can I get some help?

swat32

Answer:

b. $\frac{1}{3}$

Step-by-step explanation:

The scale factor is the number by which one must multiply all sides in a triangle such that its sides are the same as another triangle. This only works in similar triangles (triangles where all of the angles between them are congruent or have the same measures).

8 0

3 years ago

Help pls reallyyyyyyyyyyyyyyyyyy

Ivan

Answer:

10

Step-by-step explanation:

j=6

k=4

Rewrite the equation. So let's do that-

2.5(6*4)/6

6 and the other 6 cancel out so we are left with 2.5*4

Which is then equal to 10.

By the way, whenever you see the same number in a division problem on the numerator and denominator, just cancel them out because if you still did 2.5(6*4)/6, you would still get 10. I was just simplifying it!

5 0

3 years ago

Select the correct answer from each drop down menu. Consider the given table.

svet-max [94.6K]

Answer:

the new year will also......so the equation of a new 6 month period will not have to go on coronavirus or the equation is 4 year old but it was a very difficult task for me and my students and the other side of it to do it and I was the first to do it in your own way to get a better job in your life will I am a good thing to be a teacher in a good thing and the other side of it you will have the opportunity to be the best in your career in the world and in your life will you have been

5 0

3 years ago