5. A company is interested in how many emails it receives in a given hour, say from 3:00pm-4:00pm. Let X be the number of emails the company receives in a given hour. The expected number of emails it receives is set to be 100 per hour. a. What is the probability that the company receives at most 100 emails in an hour? b. Now say the the company is interested in how many emails it receives in 3 hour period. What is the expected number of emails they receive in a 3 hour time period? What is the standard deviation of the number of emails it receives in a 3 hour time period? c. Now say the probability that given email is spam (junk email) is 0.20 and emails are independent of one another. What is the probability that the company receives 100 emails and all of them are spam?
5. A company is interested in how many emails it receives in a given hour, say from 3:00pm-4:00pm. Let X be the number of emails the company receives in a given hour. The expected number of emails it receives is set to be 100 per hour.
a. What is the probability that the company receives at most 100 emails in an hour?
b. Now say the the company is interested in how many emails it receives in 3 hour period. What is the expected number of emails they receive in a 3 hour time period? What is the standard deviation of the number of emails it receives in a 3 hour time period?
c. Now say the probability that given email is spam (junk email) is 0.20 and emails are independent of one another. What is the probability that the company receives 100 emails and all of them are spam?
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