Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) = {Means P(component 4 working and system also working)
divided by P(system is functioning)}
P(A/S) = {In numerator it is P(component 4 working) and in
denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - .
Hence, P(A/S) = = 0.434.
Answer:
On coordinate plane, 2 lines intersect at (negative 1, 4)
Step-by-step explanation:
negative 1 = -1, 4 = 4
therefore this means that this coordinate is also (-1, 4)
Answer:
$141.75
Step-by-step explanation:
189*.75
1-.25 b/c 25 percent off
Answer:
The radius of the circle is √26.
Step-by-step explanation:
Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.
To find the distance between two points, the following equation should be used:
Replacing the numeric values:
The radius of the circle is √26.