Question Solved1 Answer 2. A coin is weighted so that it has a 70% chance of landing heads up when flipped. We're flipping a coin until we get a head. Let X be the random variable which stets the number of flipping. What type of distribution does X have? Write the probability mass function for X. Find P(X > E(X)).

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Transcribed Image Text: 2. A coin is weighted so that it has a 70% chance of landing heads up when flipped. We're flipping a coin until we get a head. Let X be the random variable which stets the number of flipping. What type of distribution does X have? Write the probability mass function for X. Find P(X > E(X)).
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Transcribed Image Text: 2. A coin is weighted so that it has a 70% chance of landing heads up when flipped. We're flipping a coin until we get a head. Let X be the random variable which stets the number of flipping. What type of distribution does X have? Write the probability mass function for X. Find P(X > E(X)).
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Sol. Probability of lanting heads =(70)/(100)p=0.70Now x be the random variable which stets the number of flipping to obtain first HeadThen x have geometric distribution with p=0.70:. pmf of x is{:[P(X=x)=(1-p)^(x-1)p;quad x=1","2","3","4","dots],[P(X=x)=(1-0.70)^(x-1)(0.7 ... See the full answer