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Maybe it's so easy to solve but I confused, Could anyone explain to me how can I solve these 2 questions?

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whuber
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  • (i) requires only applying the definitions; you can find (literally) thousands of examples here on CV. That leaves (ii), which is a question about moments--it's not special to Bernoulli distributions. That question is answered by the duplicate. For more examples, please visit our [threads on moments and mixtures](https://stats.stackexchange.com/search?q=mixture+moment). – whuber May 30 '20 at 12:03
  • What kind of definitions are them? Could you help? – Eilysh Mucha May 30 '20 at 12:09
  • And also the link above that you send me for duplication not solve the ii) problem, its different btw! – Eilysh Mucha May 30 '20 at 12:29

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