How to simplify. 9(3t + 4b
1 answer:
You might be interested in
Answer:
(1) 0.5933
(2) 0.8955
Step-by-step explanation:
We are given that all bags entering a research facility are screened.
Let Probability that bags entering the building contains forbidden material,
P(F) = 0.69
Probability that bags entering the building does not contains forbidden material, P(NF) = 1 - 0.69 = 0.31
Let event A = alarm gets triggered
Probability that alarm gets trigger given the bags contain forbidden material, P(A/F) = 0.77
Probability that alarm gets trigger given the bags does not contain forbidden material, P(A/NF) = 0.20
(1) Probability that a bag triggers the alarm, P(A) ;
P(A) = P(F) * P(A/F) + P(NF) * P(A/NF)
= (0.69 * 0.77) + (0.31 * 0.20) = 0.5313 + 0.062
= 0.5933
Therefore, probability that a bag triggers the alarm is 0.5933 .
(2) Probability that a bag that triggers the alarm will actually contain forbidden material is given by P(F/A) ;
Using Bayes' Theorem;
P(F/A) = =
=
= 0.8955
We can display the information given as an equation:
2000 *
= 4000; r = increase per annum
Now, we rearrange and solve for r:
= 2
r =![\sqrt[19]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B19%5D%7B2%7D%20)
= 1.037.....
We can now work out the increase for 5 years like so:
2000 *
= 2400.205..... ⇒ $2400
2000 *
Now, we rearrange and solve for r:
r =
We can now work out the increase for 5 years like so:
2000 *