Question: The probability that Ms. Smith will get an offer on the first job she applies for is 0.5, and the probability that she will get

The probability that Ms. Smith will get an offer on the first job she applies for is 0.5, and the probability that she will get an offer on the second job she applies for is 0.6. The probability that she will get an offer on both jobs is 0.15.

(a) Are the job offers independent? Justify.

(b) What is the probability that Ms. Smith gets an offer on the second job given that she receives an offer for the first job?

(d) What is the probability that Ms. Smith does not get an offer on either of the two jobs she applies for?

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