1. A soft drink company holds a contest in which a prize may be revealed on...
1. A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2, and winning is independent from one bottle to the next. You buy three bottles.
Let X= number of winning bottles out of 3 tries
(a) What is the sample space of X (in other words-what are all the values the random variable X can take on?
(b) Find the probability that none of your bottles reveals a prize. (c) Find the probability that you win at least one prize.
(d) Can X be considered a Binomial Random Variable? If so what are n and π?
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