4. Fill in the blanks We are given a coin. It can be tossed any number of times to generate independent outcomes (heads

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4 Fill In The Blanks We Are Given A Coin It Can Be Tossed Any Number Of Times To Generate Independent Outcomes Heads 1 (187.08 KiB) Viewed 80 times

4. Fill in the blanks We are given a coin. It can be tossed any number of times to generate independent outcomes (heads vs tails). Its probability X of showing head is assumed to have a continuous distribution on (0,1) with density function given by cx (1-2) if 0 <3 <1, f(x) = otherwise, = { where c is a real number constant. The random variable N denotes the number of heads occuring when we toss the coin 10 times. P(N=3) = 1. {9} P(N=5) = 2. {15} % P(N=7) = 3.{15} % E[N] = 4.5.71 (2 decimal places) Var(N) = 5.5.20 (2 decimal places) El Var(N|X)]= 6.2.14 (2 decimal places) Var(E[NX]) = 7.3.06 (2 decimal places)