In certain country, 38% of the population has type A blood. Suppose 30 people from that country are randomly chosen. Find the probability that: (a) exactly twenty-two people have type A blood.  (b) strictly more than twenty people have type A blood.  (c) at most twenty-seven people have type A blood.

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In certain country, 38% of the population has type A blood. Suppose 30 people from that country are randomly chosen. Find the probability that:

(a) exactly twenty-two people have type A blood. 

(b) strictly more than twenty people have type A blood. 

(c) at most twenty-seven people have type A blood. 

(d) between six and fifteen (inclusive) people have type A blood. 

(e) Also find the mean number of people out of 30 who have type A blood, and the standard deviation to two decimal places.

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