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Data were collected from a survey given to young women on the number of times they...

Data were collected from a survey given to young women on the number of times they had taken back an ex-boyfriend. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a women took back an ex-boyfriend. It is shown below:

xx 0 1 2 3 4 5
P(X=x)P(X=x) 0.22 0.315 0.135 0.19 0.1 0.04



a) What is the probability that a randomly selected women took back an ex-boyfriend at least once?
   

b) What is the probability that a randomly selected women took back an ex-boyfriend at most twice?
   

c) What is the expected value for this distribution?

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