question archive A fisherman attaches 7 hooks to his line
A fisherman attaches 7 hooks to his line
Subject:MathPrice: Bought3
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
