A fisherman attaches 7 hooks to his line. Every time he casts the line, each hook will be swallowed by a fish with probability 0.1, independent of whether any other hook is swallowed. Define F to be the number of fish that are hooked on a single cast of the line.

(a) F is a ______________(, (___ ) random variable.

That is, identify the type of random variable and its parameter(s).

(b) What is the probability of catching 7 fish on a single cast of the line?

(c) What is the probability of catching 3 or 4 fish on a single cast?

(d) Now suppose the fisherman wants to catch at least one fish on each cast with 94% probability.

What is the smallest number of hooks that achieves his goal? Note that your answer must be an integer

Answer rating: 100% (QA)

a Binomial random variable Bnp B701 b Catching 7 fishes 7C7 ... View the full answer