We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

Any help would be appericated. I'm going to see if I can figure out 19.) by myself right now, so I'll update it if I figure it out before someone answers incase anyone else is having trouble with a question like this.


UPDATE - I did them both, I don't know if they are done correctly though.



21.) Interpret the following probability statement into words. Is this an example of mutually exclusive events? Explain.


P(A∪B) = P(A) + P(B) − P(A∩B)


EDIT - The probability of A union B is equivalent to the difference of probability of product of probability of A and probability of B and, the probability of A intersetion B.



A company has two factories that manufacture light bulbs. Suppose that 55% of the light bulbs are

manufactured in factory A and 45% come from factory B. In factory A 0.7% of the bulbs are defective and in factory B 0.3% of the bulbs are defective. Suppose a defective light bulb is discovered. What is the probability that the defective bulb came from factory B?


EDIT - P(B | defective) = P(B & defective) / P(defective) = 0.135/0.52 = 0.2596 or 25.96%

I think that is correct?

 Dec 10, 2017
edited by Guest  Dec 10, 2017
edited by Guest  Dec 10, 2017



Let us suppose that   100000 total bulbs are manufactured by both factories...55000 by A and 45000 by B


So.....the number of defects are   55000 * .007  +  45000  * .003  =    520


So....out of the 520 defects........45000*.003  =  135  come from  B


So.....the probability that a defective bulb comes from  B  given that we have a defective bulb  is just


 135 / 520  = .2596


Just as you found  !!!



cool cool cool

 Dec 11, 2017

Here's 21


You  almost had it correct.....


The probability of A union B is equivalent to the sum of  the two separate probabilities  less the product of their probabilities


This will be mutually exclusive whenever  P(A intersect B  )  =   0




cool cool cool

 Dec 11, 2017

20 Online Users