Two cards drawn at random from a pack of cards with replacement. let the random variable x be the number of card drawn from the heart suit.
a. construct a probability mass function
b. construct a cumulative distribution function
c. what is the most likely value of the random variable x?

This is a discrete distribution with three possible cases of interest. In any such two-card hand, you can have (1) no cards, (2) one card, or (3) both cards with the heart suit.



As a PMF, you would say



The CDF is given by



The most likely value of is the expected value for the distribution, which is given by

A)26•2=52there are 2 sides with the same length116-52=64the other 2 side have to be half of 64 each64/2=32the width is 32b)make two sentences about these steps because your teacher knows how you write and explain things.

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