Approximately 6.85 left-handed people are killed each day by using an object or machinery designed for right-handed

Question:

Approximately 6.85 left-handed people are killed each day by using an object or machinery designed for right-handed people. Let X be the number of left-handed people killed this way in one day.
a. What values can X take? Why is this a Poisson situation? What is the parameter?
b. What is the probability that exactly 7 left-handed people will be killed using a right-handed object tomorrow?
c. What is the expected number of left-handed people killed using a right-handed object over the next week?
d. What is the standard deviation of the number of left-handed people killed using a right-handed object over the next week?
e. What is the probability that at least 2 left-handed people will be killed using a right-handed object tomorrow?
f. What is the probability that you will have to check more than 3 days until you find the first day which has at least 2 left-handed people killed using a right-handed object? What are you using now and what is the parameter? Distribution
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