A coin which lands heads with probability p is tossed, Basic Statistics

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A coin which lands heads with probability p is tossed

Question: A coin which lands heads with probability p is tossed repeatedly. Assuming independence of the tosses, find formula for

a) P(exactly 5 heads appear in the first 9 tosses):

b) P(the first head appears on the 7^th toss)

c) P(the fifth head appears on the 12^th toss):

d) P(the same number of heads appear in the first 8 tosses as in the next 5 losses).

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Basic Statistics: A coin which lands heads with probability p is tossed

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Basic Statistics: A coin which lands heads with probability p is tossed

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