Please write code in R. An ornothologist (a bird scientist) is spending one hour each day bird watching around the habitat of a rare finch. They spot on average about 87 birds each day but only 6 of them are finches. Keep in mind that the rate is expressed per hour but some of the following questions relate to the number of minutes.

a) What is the probability that the researcher spots between 80 and 100 birds (inclusive) during an hour of observation. Save your answer in the variable q3.a

b) What is the probability that the researcher spots between 8 and 10 finches (inclusive) during an hour of observation. Save your answer in the variable q3.b

c) If the researcher spots a total of 95 birds during a shift, what is the probability that at least 7 of them are finches? Save your answer in the variable q3.c

d) What is the probability that the researcher spots less than 4 finches on a given day? Save your answer in the variable q3.d

e) What is the probability that the researcher does not spot 4 or more finches (per day) at least once in the next 3 days? Save your answer in the variable q3.e

f) How many minutes does the researcher expect to wait before spotting their first finch? Save your answer in the variable q3.f

g) What is the probability that the researcher waits 20 or more minutes to spot their first finch on a given shift? Save your answer in the variable q3.g

h) What is the probability that the researcher waits 60 or more minutes to spot their first finch on a given shift? Save your answer in the variable q3.h

i) What is the probability that they spots 0 finches on a given shift? Save your answer in the variable q3.i