The environmental engineer in problem 6 is concerned with

Reference no: EM13642686

The environmental engineer in problem 6 is concerned with catching fish. Again, assume the capture of fish is a binomial experiment and the probability any fish is parasitized is 0.10. Let X be the number of fish required to be caught to have 3 parasitized fish.

a) What is the probability that X =15?

b) What is E(X)?

c) What is the standard deviation of X?

d) Suppose the environmental engineer is concerned with costs. Suppose it costs $1000 just to start fishing, and it costs $500 for every fish caught whether the fish is parasitized or not. What is the expected cost? Assume X is the random variable of interest.

e) Assuming the same costs as in part d, what is the standard deviation of the cost? Again, assume X is the random variable of interest.

Reference no: EM13642686

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