We are doing this in R software, so if you could also show how to do it in that along with the normal work, that would be much appreciated.
Problem 3
Sports and Leisure magazine reported that approximately 2.42 shark attacks occur per year at the beaches of North Carolina.
For each of the following questions, show the R scripts used and the computer output. In addition, write the answers using probability and random variable notations.
(a) What is the probability between 2 and 5 shark attacks inclusive will occur next year?
(b) If there is evidence to suggest that the mean number of shark attacks has increased, the Coast Guard will begin more patrols to adequately protect the public. Suppose there are 8 shark attacks next year. Is there evidence to suggest the need for more patrols? Justify your answer.
Hint: Calculate the probability that the number shark attack is at least as 8.
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