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mistergutsy8622
12.03.2021 •
Mathematics
7. An emergency cooling system consists of a cooling water tank that has cooling water in it about 92% of the time, an emergency cooling water pump that can be counted on to start when needed about 94% of the time, and an emergency cooling water valve that opens when tripped about 96% of the time. Someone will actually push the emergency button in an emergency about 90% of the time, and it will work when pushed about 98% of the time. What is the probability the emergency cooling system will work when needed
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Ответ:
the probability the emergency cooling system will work when needed is 80.5%
Step-by-step explanation:
Given the data in the question;
the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time
E
⇒ Someone will actually push the emergency button in an emergency
P(E
) = 90% = 0.90
E
: Someone will actually push the emergency button in an emergency
P(E
) = 99% = 0.99
P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)
we substitute
P(E) = 92% × 94% × 96% 99% × 98%
P(E) = 0.8054
P(E) = 80.5%
Therefore, the probability the emergency cooling system will work when needed is 80.5%
Ответ:
any other info pls tell me
Step-by-step explanation: