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The manager of a Vancouver nightclub has observed that the number of male customers who visit the club follows a Poisson distribution with a mean of
The manager of a Vancouver nightclub has observed that the number of male customers who visit the club follows a Poisson distribution with a mean of 30 per day, and the number of female customers who visit the club follows a Poisson distribution with a mean of 20 per day. The entrance ticket is $20 per male and $10 per female. (10 marks)
a. Find the probability that 10 males will visit the club on a randomly selected day.
b. If the number of males and female visitors are mutually independent, find the mean and the standard deviation of the club earnings through entrance ticket earnings.
