STAT qustion

Question

Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 48% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 22 strikes. Find the following probabilities. (Round your answers to four decimal places.)

 

A. 12 or fewer fish were caught

 

B. 5 or more fish were caught

 

C.between 5 and 12 fish were caught

Answer 1

Well, you are provided with the probability of a strike in the specific region for a specific type of fish, i.e. p = 0.48.

Then, you are told that there is a total of 22 strikes. This info alone should alert you to what is the relevant distribution

you need to use. (22 trials, probability of success in each trial = 0.48... hint hint, ..... binomial?)

 

You can catch 0, 1, 2, .., 22 fish.

it is a discrete outcome.

 

So Probability[ strike 12 or lower] = Probability[X=0, 1, 2, .., 12]. Excel, calculators, or old traditional tables can compute this probability.

 

For Probability[5 strikes or more] = Probability[x=5, 6, ...., 22] = 1 - Prob[x=0, 1, 2, 3, 4] which is much less time consuming to compute, although if you use technology it make little or no difference....

 

And so on...