1 Given Ex and Vx 2 and y 2x 3 then which of the followi

1) Given E(x) = and V(x) = ² and y = 2x + 3, then which of the following is true about E(y) and V(y)

2)

Ten fair coins are shake in a cup then poured out onto a table top. Which of the following distributions has the highest probability of occurence:

3) ACCEPTANCE SAMPLING: Company A purchases large shipments of computer chips and uses this acceptance sampling plan: randomly select and test 100 computer chips, then accept the whole batch if there is less than two defective; that is, at most one chip does not work. If a particular shipment of computer chips actually has a 2% rate of defects, what is the population mean; that is, the expected number of defectives parts in this whole shipment?

4) Given that the probability of success in a business venture is 4%, what is the population mean; that is, the expected number of trials that an entrepreneur will to endure to ensure one success?

Solution

1) only the second option is true, ecause V(9)=0.

2) They are equally likely.

3) mean=np=100*0.02=2

4) this is a geometric distirbuiton. Expected value is p

p=0.04

So converting this to fractions, we find that 25  trials will have to be endured to ensure one success.