Abicycle factory runs two assembly lines, a and b. 97% of line a's products pass inspection and 94% of line b's products pass inspection. 40% of the factory's bikes come off assembly line b and the rest come off line a. find the probability that one of the factory's bikes passedpassed inspection and came off assembly line b.

The probability that one of the factory's bikes passed inspection and came off assembly line B is 0.564.

Step-by-step explanation:

Given : A bicycle factory runs two assembly lines, A and B. 97% of line A's products pass inspection and 94% of line B's products pass inspection. 40% of the factory's bikes come off assembly line B and the rest come off line A.

To find : The probability that one of the factory's bikes passed inspection and came off assembly line B ?

Solution :

The probability of line B's is P(B)= 40%=0.4

The probability of line A's is P(A)=100-40= 60%=0.6

Let E be the passes inspection.

The probability of line A's products pass inspection is P(E/A)=97%=0.97

The probability of line B's products pass inspection is P(E/B)=94%=0.94

The probability that one of the factory's bikes passed inspection and came off assembly line B is

Therefore, The probability that one of the factory's bikes passed inspection and came off assembly line B is 0.564.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a