5.57 What is wrong? Explain what is wrong in each of the following scenarios.

1. (a) If you toss a fair coin four times and a head appears each time, then the next toss is more likely to be a tail than a head.

2. (b) If you toss a fair coin four times and observe the pattern HTHT, then the next toss is more likely to be a head than a tail.

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   (c) The quantity is one of the parameters for a binomial distribution.

4. (d) The binomial distribution can be used to model the daily number of pedestrian/cyclist near-crash events on campus.