Considering that X is "the number of times that Henry goes to the movies in a month"
This variable has 3 possible outcomes
You know that 5% of the time he goes to the movies twice a month, 30% of the time he goes to the movies once a month and 65%of the time he doesn't go to the movies at all during the given month.
These percentages correspond to the probability of each one of x possible outcomes.
You can make a table of probability distribution:
The expected value is equal to the sum of the product of each value of x by its corresponding probability:
He is expected to go to the movies 0.4 times per month.