According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day (Entrepreneur magazine website). Assume the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is five. A. What is the probability of receiving no emails during an hour (to 4 decimals)? B. What is the probability of receiving at least three emails during an hour (to 4 decimals)? C. What is the expected number of emails received during 15 minutes (to 2 decimals) D. What is the probability that no emails are received during 15 minutes (to 4 decimals)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day (Entrepreneur magazine website). Assume the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is five.
A. What is the probability of receiving no emails during an hour (to 4 decimals)?
B. What is the probability of receiving at least three emails during an hour (to 4 decimals)?
C. What is the expected number of emails received during 15 minutes (to 2 decimals)
D. What is the probability that no emails are received during 15 minutes (to 4 decimals)
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