Brad really likes driving to the Outer Banks. The only problem is Brad occasiona

Question

Brad really likes driving to the Outer Banks. The only problem is Brad occasionally speeds. Assume that the chance that Brad gets a speeding ticket on his way to the outer banks is 1/4 (you may assume on each trip he gets either zero speeding tickets or one speeding ticket; the implication being if he gets one speeding ticket he drives really carefully). You may also assume that outcomes over different trips are independent. Brad goes to the Outer Banks 2 times this year. Let X denote the number of speeding tickets he gets. This random variable can take the values 0, 1, 2. (a) Make a table as in question 1 describing the values X takes and the probability that X takes these values. (b) Find E(X).

Explanation / Answer

This is binomial distribution with different 0,1,2

p=1/4 and n=3

b. E(x)=Sum(x*P(x))=0.421875+2*0.140625=0.703125

x P(x) 0 0.421875 1 0.421875 2 0.140625

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