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algol13
2 years ago
9

Given

Mathematics
1 answer:
Nadya [2.5K]2 years ago
6 0

1334⅝7788865323557885558997776557895545788778999775564466⅞89757867798555⅝7788888898988976534756889986665444332333456777897556765689654688666678

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There are three local factories that produce radios. Each radio produced at factory A is defective withprobability .02, each one
diamong [38]

Answer:

The probability is 0.02667

Step-by-step explanation:

Let's call D1 the event that the first radio is defective and D2 the event that the second radio is defective.

So, if we select both radios any factory, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1) = P(D2∩D1)/P(D1)

Taking into account that 0.02 is the probability that a radio produced at factory A is defective, P(D2/D1) for factory A is:

P(D2/D1)_A=\frac{0.02*0.02}{0.02} =0.02

At the same way, if both radios are from factory B, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)_B=\frac{0.01*0.01}{0.01} =0.01

Finally, if both radios are from factory C, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)_C=\frac{0.05*0.05}{0.05} =0.05

So, if the radios are equally likely to have been any factory, the probability to select both radios from any of the factories A, B or C are respectively:

P(A)=1/3

P(B)=1/3

P(C)=1/3

Then, the probability P(D2/D1) that the second radio is defective given that the first one is defective is:

P(D2/D1)=P(A)P(D2/D1)_A+P(B)P(D2/D1)_B+P(C)P(D2/D1)_C

P(D2/D1) = (1/3)*(0.02) + (1/3)*(0.01) + (1/3)*(0.05)

P(D2/D1) = 0.02667

6 0
3 years ago
Mrs. Smith earns 3500 a month she gives 280 a month savings is what precent of her income <br>​
bogdanovich [222]

Answer:8%

Step-by-step explanation:

8% of her income because I did

280

-----

3500

=

X

------

100 ( Sorry if I'm wrong <3 )

4 0
3 years ago
When you are determining The probability of an event why must the probability be between 0 and 1
slega [8]

The probability of an event cannot be less than 0 because 0 means it's impossible. The probability of an event cannot be more than 1 because 1 means that it's certain that it will happen. That's why the probability must be between 0 and 1.

7 0
3 years ago
At Silver Gym, membership is $45 per month, and personal training sessions are $25 each. At Fit Factor, membership is $75 per mo
Elza [17]
Ok she would have to buy 5 personal trainers to be equal the same with the other gym.

Gym 1 is $25 ( $25, $50, $75, $100)
Gym 2 is $15 ( $15, $30, $45,$60, $75)

$75 is are match
5 0
2 years ago
Read 2 more answers
What are the answers 1-9
zubka84 [21]

Answer:

  • 48
  • 9
  • 2
  • 16
  • 35

Step-by-step explanation:

KNOWLEDGE IS KEY

4 0
3 years ago
Read 2 more answers
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