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dedylja [7]
3 years ago
13

A biometric security device using fingerprints erroneously refuse to admit 1 in 1,000 authorized person from a facility containi

ng classified information. The device will erroneously admit 1 in 1,000,000 unauthorized persons. Assume that 95 percent of those who seek access are authorized. If the alarm goes off and a person is refused admission, what is the probability that the person was really authorized?
Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

0.01864

Step-by-step explanation:

Let A be the event that a person was authorized and NA be the event that the person was not authorized. Let R be the event that a person was refused admission and G be the event that a person was granted admission.

Then we have to find P(A|R) = [P(A)*P(R|A)]/P(R)

putting value we get

P(R) = P(A)P(R|A) + P(NA)P(R|NA) = 0.95*(1/1000) + 0.05*((1,000,000-1)/1,000,000) = 0.0.05094995

P(A|R) = [P(A)*P(R|A)]/P(R)

= [0.95*(1/1000)]/(0.05094995)

=0.01864

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babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180  - - - - - (1)   (Abel and Cedric will share a total of $180)

A = \frac{C}{2}\ - - - - - - - (2) (Abel will receive half as much as Cedric. )

from equation 2:

A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0
3 years ago
can someone help me with this
stiks02 [169]
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How do I solve this question ??????
Vlada [557]
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Thank you hope this helps
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