Question

WRITE R CODE TO SOLVE THIS QUESTION

14)An ichthyologist during her study catches specimens in a large bag seine that she trolls through a lake. She knows from many years of experience that on an average she will catch 2 fish per run. Find the probability of catching: a. No fish on a particular run. b. Fewer than 6 fish on a particular run. c. Between 3 to 6 fish on a particular run.

WRITE R CODE TO SOLVE THIS QUESTION

Answer 1

Below is the probability for calculation in R. Poisson distribution is calculated using the function ppois().

R Code

# Part a)
# As ,mean occurence lambda = 2 is given poison distribution is calculated.
# For zero or no fish i.e. q = 0
ppois(0, lambda = 2)
# Part b)For fewer than 6 fishses q = 5 is used
ppois(5, lambda = 2)
# Part c) Fishes between 3 and 6, q = 3 is subtracted from q = 3
a <- ppois(5, lambda = 2)
b <- ppois(3, lambda = 2)
a - b

Code screenshot

Part a) # As, mean occurrence 1ambda = 2 is given poison distribution is calculated. # For zero or no fish i.e. q = 0 ppois(0, lambda = 2) # Part b) For fewer than 6 fishses q = 5 is used ppois(5, lambda = 2) # Part c) Fishes between 3 and 6, q = 3 is subtracted from q = 3 a < -ppois(5, lambda = 2) b < -ppois(3, lambda = 2) a-b \r\n [1] 0.1353353 [1] 0.9834364 [1] 0.1263129
Output