Hiya guys I really need help with this, any is appreciated

The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Whe

marissa [1.9K]

Answer:

a) 0.31 = 31%

b) 0.03 = 3%

c) 0.36 = 36%

d) 2 times

Step-by-step explanation:

If $F_X(x)$ is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by

$P(X \leq x) = F_X(x)$

If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then

$P(X=a)=F_X(a)-\lim_{x \to a^-}F_X(x)$

a)

We are looking for P(X<2)

$P(X < 2) = P(X\leq 2)-P(X=2)=F_X(2)-\lim_{x \to 2^-}F_X(x)=0.84-0.53=0.31$

b)

In this case we want P(X>3)

$P(X >3) = 1-P(X\leq 3)=1-F_X(3)=1-0.97=0.03$

c)

Now, we are interested in P(X=1)

$P(X =1) =F_X(1)-\lim_{x \to 1^-}F_X(x)=0.53-0.17=0.36$

d)

The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:

P(X=1)+2P(X=2)+...+nP(X=n)+...

But it is easy to see that P(X=n) = 0 if n is an integer >4

So, the expected value is

P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)

We already have P(X=1) and P(X=2). Let's compute the rest

$P(X =3) =F_X(3)-\lim_{x \to 3^-}F_X(x)=0.97-0.84=0.13$

$P(X =4) =F_X(4)-\lim_{x \to 4^-}F_X(x)=1-0.97=0.03$

and the expected value is

0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.

8 0

4 years ago

Find the length of the unknown side. Round your answer to the nearest whole number.

aleksley [76]

The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.

75^2-18^2=a^2

75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.

the square root of 5301 is 72.8079666, rounding to 72.8.

6 0

3 years ago

Read 2 more answers

Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,00

Yuki888 [10]

Answer:

part a) The rate per unit is decreasing by -0.00001.

Step-by-step explanation:

y2-y1

-------- = slope

x2-x1

So if you plug it into the calculator, you should get -0.00001.

pretty small number :D ...but remember it's out of thousands of units.

6 0

4 years ago

Read 2 more answers

What is the slope of this graph?

Verdich [7]

Answer:

6/12 or 1/2 which is 0.5

Step-by-step explanation:

I hope this is right, because I'm doing this stuff as well in class.

Slope is always rise over run. It is rising by 6 and it is running (going across) by 12. This fraction (6/12) can be simpiled to 1/2 and that can be narrowed down to 0.5.

Hope this is clear and correct.

8 0

3 years ago

To buy a laptop computer, Jane borrowed $5,000 for 3 years at an annual rate of 6%.

kiruha [24]

Answer:

5955.08

Step-by-step explanation:

First year: 5000×(6÷100)=300

Second year : 5300×(6÷100)=318

Third year : 5618×(6/100)=337.08

And = 5955.08

4 0

3 years ago