Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:

Then,

(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:

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:

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Answer:
I think the correct answer is D
Step-by-step explanation:
Answer:
It will cost $6 to buy enough lemons.
Step-by-step explanation:
Consider the provided information.
To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.
1 cup = 16 tablespoons
1/2 cup = 8 tablespoons
That means we only need 8 tablespoons.
Each lemon yields 2 tablespoons of lemon juice.
Number of lemon required = 8 ÷ 2 = 4
That means we need only 4 lemon.
Store is selling lemons at 2 for $3 that means 4 lemons for $6.
Hence, it will cost $6 to buy enough lemons.
Answer:
0.5656854249
Step-by-step explanation:
1000(0.0128/200)
1000(0.11314/200)
1000(0.0005656854)
=0.5656854249