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Ivahew [28]
3 years ago
8

A bicycle manufacturing plant is producing the first few frames for their new electric bicycle design. The first batch of 60 fra

mes has some issues: 1/3 of the frames had a weak junction where top tube meets the seat tube. After some fine tuning, a second batch of 120 frames is made, of which 1/4 are bad, still having the weak junction. Finally, another bug is fixed and a third batch of 180 frames is made and only 1/5 of these are bad. Unfortunately, due to a clerical error, all 360 frames were combined, unlabeled, into the same shipping bin. You have access to a quick test that checks if a bike frame is defective, which is correct with probability 9/10. That is, if the bike frame is defective, the test will say it is defective with probability 9/10. If the bike frame is not defective, the test will say it is defective with probability 1/10.
A) Determine the probability that the test returns "defective," P[D].B) Determine the probability that, given the test returns "not defective," the bike frame is not bad P[Bc |Dc].
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

a) 131/450

b) 1233/1276  

Step-by-step explanation:

P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)

p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)

= 43/180  

And that of  P(good )

= 1 - 43/180

= 137/180

a)

P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)

= (43/180)*(9/10) + (137/180)*(1/10)

= 131/450

b)

P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)

= (137/180)*(1 - 1/10) / (1 - 131/450)

= 1233/1276  

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Bess [88]

Very simple.

Let's say you have an equation.

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You are asked to find the value for y when x equals 1.

The new equation is: f(1) = (1)^2

f(1) = 1

When x = 1, y = 1.

The same concept is applied here.

In the graph, where does x equal 0?

It equals zero at the origin.

Is there any y-value associated with 0?

Yes, there is.

Y equals five when x equals 0.

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h(0) = 5

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Oksi-84 [34.3K]

Answer:

-35/6

Step-by-step explanation:

We need to find the value of x , And the given pair of Rational numbers are equal.

<u>Question</u><u> </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

→ 3/4 = 7/x

→ 7/x = 3/4

→ 1/x = 3/4 × 1/7

→ 1/x = 3/28

→ x = 28/3

<u>Question</u><u> (</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

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→ x = -5/6 × 7

→ x = -35/6

<h3>• Hence the value of x is -35/6 .</h3>
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