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alisha [4.7K]
3 years ago
12

The ratio of boys to girls in a class is 3 to 4. If the class has 21 students, how many of them are girls?

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

D. 9

Step-by-step explanation:

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Let Event D=Defective,  D' = Non Defective

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From the given information:

P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.  

i.e. P(N|D')

P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91

Using Baye's Law of conditional Probability

P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

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Step-by-step explanation:

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