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

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%

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: