Random variables and probability distributions

[Undergrad1]

The question i need help to is below:

Laboratory tests on a large shipment [several thousands] of radios revealed that 6.5% are
defective. On arrival of the shipment at the local distributor, 30 of the radios were
randomly selected for a promotion.

(a) Define the random variable for this situation and list its values

(b) (i) What in your view is the probability distribution of this variable? State the
conditions that influence your choice of distribution.

(ii) Calculate the probability that at most two (2) radios will be defective.

(c) From a randomly selected sample of 200 radios from the shipment, what is the
probability that less than 20 are defective

Thanks

 

[Dason]

Hi! :welcome: We are glad that you posted here! This looks like a homework question though. Our homework help policy can be found here. We mainly just want to see what you have tried so far and that you have put some effort into the problem. I would also suggest checking out this thread for some guidelines on smart posting behavior that can help you get answers that are better much more quickly.