Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer: (a) 0.006
(b) 0.027
Step-by-step explanation:
Given : P(AA) = 0.3 and P(AAA) = 0.70
Let event that a bulb is defective be denoted by D and not defective be D';
Conditional probabilities given are :
P(D/AA) = 0.02 and P(D/AAA) = 0.03
Thus P(D'/AA) = 1 - 0.02 = 0.98
and P(D'/AAA) = 1 - 0.03 = 0.97
(a) P(bulb from AA and defective) = P ( AA and D)
= P(AA) x P(D/AA)
= 0.3 x 0.02 = 0.006
(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)
= P(AA) x P(D/AA) + P(AAA) x P(D/AAA)
= 0.3(0.02) + 0.70(0.03)
= 0.027
Answer:
30 more
Step-by-step explanation:
hope it helps friend.