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Contact [7]
3 years ago
12

Plz help…………………………..

Mathematics
1 answer:
Lelu [443]3 years ago
4 0
I think it’s b I’m not sure
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A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
3 years ago
Complete the proof, Will give brainliest
mrs_skeptik [129]
B. Inscribed Angle Theorem
C. Angle Addition Postulate
D. Substitution Property of Equality 
E. Transitive Property of Equality
F. 1/2m(arc)AC = mG. Inscribed Angle Theorem
4 0
4 years ago
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracke
ladessa [460]

Answer:

Domain : 0\le x \le 6

Range: 0 \le y \le 72

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the domain and the range

From the complete question, we understand that the study was carried out for 6 days. This represents the domain;

So, we have:

Domain : 0\le x \le 6 i.e. from day 0 to day 6

Also, he experimented with 72ml, and he used an equal amount each day before he used up all the 72mL. This represents the range

So, the range is:

Range: 0 \le y \le 72 i.e. from 72mL to 0mL

5 0
3 years ago
Helppp plz i beg you i will give u a like and a 5 star
Annette [7]

Answer:

8/8

Step-by-step explanation:

4/4 = 1

8/8 = 1

you can also see it in the number line that 4/4 and 8/8 are located in the same place.

7 0
3 years ago
Read 2 more answers
If 400 g of chocolate sells for $12,<br> "how much is the cost per kilogram?
Kryger [21]

the cost of the chocolate of 1 kg will be 30$

4 0
3 years ago
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