6.Many sharks enter a state of tonic immobility when inverted. Suppose that in a particular species of sharks the time a shark remains in a state of tonic immobility when inverted is normally distributed with mean 11.2 minutes and standard deviation 1.1 minutes.
a.If a biologist induces a state of tonic immobility in such a shark in order to study it, find the probability that the shark will remain in this state for between10and13 minutes.
b.When a biologist wishes to estimate the mean time that such sharks stay immobile by inducing tonic immobility in each of a sample of12 sharks, find the probability that mean time of immobility in the sample will be between10 and13minutes.
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