# Question: Sam Ruggerio operates a fleet of two fishing trawlers Based

Sam Ruggerio operates a fleet of two fishing trawlers. Based on past frequencies, each trawler is 50% likely to bring back 10 tons of fish on a given day, 20% likely to bring back 20 tons of fish, and 30% likely to return empty. Assume the trawlers perform independently.

a. On a randomly selected day, how likely is it that the total day’s catch is 40 tons?

b. If we define a random variable that measures the total day’s catch for Sam’s feet, what are the possible values for the random variable?

c. Show the full probability distribution for the “total day’s catch” random variable.

a. On a randomly selected day, how likely is it that the total day’s catch is 40 tons?

b. If we define a random variable that measures the total day’s catch for Sam’s feet, what are the possible values for the random variable?

c. Show the full probability distribution for the “total day’s catch” random variable.

## Answer to relevant Questions

Use the Poisson probability function to determine the following probabilities: a. For λ = 2, P(x = 5) b. For λ = 6, P(x = 2) c. For λ = 3.5, P(x = 0) d. For λ = 2, P(2 < x < 4) Use the Poisson table to find the following probabilities: a. For λ = 2, P(x = 4) b. For λ = 6, P(x = 14) c. For λ = 3.5, P(x < 1) d. For λ = 2, P(3 < x < 5) Use values from the Poisson table to sketch the Poisson distribution for λ = 5. Use the binomial and the Poisson tables to compute and compare the binomial probabilities and the approximating Poisson probabilities for the following cases: a. P(x = 5) where n = 20, p = .1 b. P(x < 2) where n = 18, p = ...For the experiment described in Exercise 66, use the binomial table at the end of the text to confirm the probabilities you produced.Post your question