Consider a sequence of flips of a coin with probability 𝑝 of turning up heads. Let 𝑋 be the number of flips just before

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Consider a sequence of flips of a coin with probability 𝑝 ofturning up heads. Let 𝑋 be the number of flips just before thefirst tail (NOT including the first tail).a) Give the pdf of 𝑋, include the (nonzero) domain of 𝑋.b) Show that ∑𝑝𝑋 =1.c) Find the mean of 𝑋.