1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rama09 [41]
3 years ago
7

One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one anothe

r. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.07. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly? (Round your answer to three decimal places.)
Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

0.5160

Step-by-step explanation:

Xi:"i-th Signal"

Xi=1, False alarm

Xi=0, True error

Y=\sum ^{10}_{i=1}Xi

X=Ber(p=0.07)

Y=Bin(n=10, p=0.07)

P(\displaystyle\sum_{i=1}^{10} X_i\geq 1)=1-P(\displaystyle\sum_{i=1}^{10} X_i=0)=1-P(Y=0)=1-(1-0.07)^{10}=0.5160

You might be interested in
Pleaseeee help w these math questions! please show work!!!<br><br> 50 points
Schach [20]

9. You need an exact answer. So I will give you it but I'll also give you an approximation because it might help you understand it more.

Because we know the cosine fo theta, we can evaluate the inverse cosine of -2/3 first to find theta.

sin^{-1}(-2/3) = 131.81° approx.

Because 131.81° is in the second quadrant its third quadrant partner is 228.19°. Which would make the sine 0.75 approximately.

But we need an exact answer I suppose so which is this disgusting mess...sin(2\pi -cos^{-1}(\frac{-2}{3})). I know it looks scary but it is basically  all the steps we just did but without evaluating anything.

This can be simplified using: sin(x− y) = sinxcosy−cosxsiny

To... -sin(cos^{-1}(\frac{-2}{3}))

answer: -sin(cos^{-1}(\frac{-2}{3}))

10. Okay. So because we have a point we can say that...

θ = tan^{-1}(-9/11)

sin(θ) = +sin(tan^{-1}(-9/11))

11. arcsin(-0.37) = sin^{-1}(-0.37) = -21.72°+2kπ or 201.72°+2kπ approx. where k has to be an integer

answer: idk if you want one or more solutions so I gave you them all.

12. arccos(-√3/2) = cos^{-1}(\frac{-\sqrt{3} }{2}) = \frac{5\pi }{6}+2k\pi, \frac{7\pi }{6}+2k\pi

Remember that "k" must be an integer.

answer: 5π/6

6 0
3 years ago
Match each pair of equivalent fractions. 1 4. 1. 4/16 8 1 4/10 ni - 17 MI10 10 2 3. 3 12/18 5 4 4. 2. 16/20 6 NEXT QUESTION ASK
koban [17]

Answer:

You divide each fraction by the highest multiple.

4/16 can be divided by 4 to get 1/4

12/18 can be divided by 6 to get 2/3

4/10 can be divided by 2 to get 2/5

16/20 can be divided by 4 to get 4/5

Step-by-step explanation:

hope this helps

7 0
2 years ago
Please Help I dont Know what to do with this question!!!!
Anestetic [448]

Answer:

1. Certain

2. Impossible

3. Likely

4. Unlikely

Step-by-step explanation:

I believe this is correct. Hope this helps!

6 0
2 years ago
Read 2 more answers
A plane intersects this rectangular prism perpendicular to the prism’s base.
Alexandra [31]
A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)
4 0
3 years ago
Write an equation of a line wit the given slope and y intercept
Orlov [11]

Answer:

Step-by-step explanation:

the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4

6 0
3 years ago
Other questions:
  • In the piece-wise function graphed below, which is the correct equation for when
    11·1 answer
  • What is the slope of (0,2) and (-8,-8)?
    8·1 answer
  • How do you write 282% as a decimal
    5·2 answers
  • Which number is written in scientific notation?
    9·1 answer
  • F (x) = (x - 6)2(x + 2)2
    6·1 answer
  • On a farm, there are 18 heads and 134 legs. How many chickens and dogs are there? (50 pts.)
    15·2 answers
  • 4th grade math question:
    15·2 answers
  • PLS SHOW FULL STEP .................
    9·1 answer
  • 7. What is the value of the expression?<br><br> 3/4 divided by 1/2
    15·1 answer
  • Inverse operationsare pairs of mathematical manipulations in which one operation undoes the action of the other—for example, add
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!