In a certain city, we plan to predict each year-during 31 year period- whether there issnow on New years's Day. There is historically a 30% chance of snow that day. Weassume the behaviour on the New years's day during this 31 year period are independentfrom each other. We are interested in counting up the number of snowy New years'sday during the 31 year period.(1) How many trials are there?(2) What does X represent in terms of this story? What values can it take?(3) Why is this binomial distribution problem?(4) What is the probability of exactly 5 snowy New year's day?(5) What is probability of atleast one snowy New year's day?

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