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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

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Show work please thank you
kaheart [24]
The easiest way to solve this is to divide the shape into 2 rectangles.

The first rectangle being the big one on the left with the 12 and 6
and the second one being the little one on the right, next to it with the 5

So 12 x 6 = 72 (dont pay attention to the 7, 5, or 10, because all we need is 1 length and 1 width)

And for the smaller one it is a little bit trickier.

So on the bottom we see that is says 10ft, but we cant use that because what we really need is the measurement between the 5 and 7 on the top of the little rectangle

At the top we see that it says 6ft

We can do 10-6 to find the missing measurement.

Because the length of the whole like is 10, and the length of one of the little lines is 6, so the length of 6 + some number =10

So 10-6 = 4

Which means the number we need is 4

So now we have 5 x 4 = 20

72 + 20 = 92

Answer: 92

I also attatched an image, I hope this helps! Ask me if you have any other questions about this problem!

7 0
3 years ago
Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w
Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0
3 years ago
12/2 as a whole number or mixed number
bogdanovich [222]
It is a mixed number because 12/2 can be written as 6 instead of 12/2
4 0
2 years ago
Read 2 more answers
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
Dafna11 [192]

Answer:

196 in ^2

Step-by-step explanation:

Formula for area of trapezium is h ( a + b )/ 2 so.....

14(10 + 18)/2=196

3 0
3 years ago
What is the sum of 2/3 and 3/4
Mumz [18]
2/3 + 3/4 = 17/12 or 1 5/12
8 0
2 years ago
Read 2 more answers
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