Find the PMF of X and the distribution of X?

[David Mercedes]

There are two coins, one with probability p1 of Heads and the other with probability p2 of Heads. One of the coins is randomly chosen (with equal probabilities for the two coins). It is then flipped n 2 times. Let X be the number of times it lands Heads.
(a) Find the PMF of X.
(b) What is the distribution of X if p1 = p2?

 

[Deleted member 4993]

There are two coins, one with probability p1 of Heads and the other with probability p2 of Heads. One of the coins is randomly chosen (with equal probabilities for the two coins). It is then flipped n 2 times. Let X be the number of times it lands Heads.
(a) Find the PMF of X.
(b) What is the distribution of X if p1 = p2?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.​