Question

A large water bottling plant can remain at full production as long as one of its two generators in functioning. Due to past experience and the age difference between the systems, the plant manager estimates the probability of the main generator failing is 0.05, the probability of the secondary generator failing is 0.01, and the probability of both failing is 0.007 marble i ty that 11 What is the probability the plant remains in full production today? a) 88% b) 99.3% c) 88.8% d) 99.4%​

Answer 1

Answer:

answer is 99.3

Step-by-step explanation:

although the answers may seem complicated,note that probability the plant remains in full production and the probability of both failing are complements

p( full production ) = 1-p ( both generator fail )

= 1-0.007

=0.993

there is 99.3% probability plant remains in full production today.

thus ( b ) is correct option

Answer 2

Given,

The probability of the main generator getting failed$\[ = 0.05\]$

The probability of the secondary generator getting failed$\[ = 0.01\]$

The probability of both the generator failing$\[ = 0.007\]$

Solution,

Know that probability is the numerical value of the happening of an event.

Therefore, the probability of full production is

$\[\begin{array}{l} = 1 - 0.007\\ = 0.993\\ = 99.3\% \end{array}\]$

Hence, the probability of full production is $\[99.3\% .\]$