Question 7: According to a survey conducted by the University of Health Sciences, patients in a COVID-19 treatment centre receives on average, 7 emails per day. Let X = the number of emails a patient...

Question 7:


According to a survey conducted by the University of Health Sciences, patients in a COVID-19
treatment centre receives on average, 7 emails per day. Let X = the number of emails a patient
receives per day. The discrete random variables X takes on the values x = 0, 1, 2 …. The random
variable X has a Poisson Distribution: X ~ P (7). The mean is 7 emails.
A. What is the probability that a patient receives exactly 2 emails per day?

1. What is the probability that a patient receives at most 2 emails per day?
   C. What is the standard deviation?

Question 8:


Patients receive or send an average of 41.5 text messages per day.
A. How many text message users receive or send per hour?
B. What is the probability that an email user receives at most 2 emails per day?
C. What is the standard deviation?

Question 9:


On June 15, 2020, starting at 4.30pm, the probability of low seismic activity at the GIMPA clinic
for the next 48 hours was reported as about 1.02%. Use this information for the next 200 days to
find the probability that there will be low seismic activity in ten of the next 200 days. Use both
binomial and Poisson Distributions to calculate the probabilities. Are they close?

Question 10:


A survey of 500 old citizens in the Greater Accra region yields the following information: 75
percent went straight to work after their undergraduate graduation, 15 percent went on to work on their Masters degree, 9 percent stay on to get a minor in a Public Health, and 1 percent went on to get another Masters degree.