A large technology firm receives an average of 12 new job applications every 10 days for positions

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A large technology firm receives an average of 12 new job applications every 10 days for positions that are not even advertised. Suppose the number of job applications received follows a Poisson distribution.
a. What is the average number of days between successive job applications?
b. What is the probability that the next job application is received within a day?
c. What is the probability that the next job application is received between 1 and 2 days?

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