I don't understand this
1 answer:
Looking at the picture attached, you will notice that on one side, we have a side of length 7+5=12. Next, we have a side length of 4+5+2=11. Hence, as length*width=area for a rectangle, this is the overall area of the rectangle. Next, in the picture, there are clearly two sides taken out - a 2x5 as well as a 4x5 rectangle, which are subtracted from the total area, resulting in 11*12-2*5-4*5
Feel free to ask further questions!
Feel free to ask further questions!
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Answer:
The probability that the assembly line will be shut down is 0.00617.
Step-by-step explanation:
We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.
Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.
Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 12 bottles
x = number of success = 2 or more bottles
p = probabilitiy of success which in our question is probability that
bottles are not within specification, i.e. p = 0.01
So, X ~ Binom (n = 12, p = 0.01)
Now, the probability that the assembly line will be shut down is given by = P(X 2)
P(X 2) = 1 - P(X = 0) - P(X = 1)
=
=
= <u>0.00617</u>