Final answer:
The probability that x = 9 is 0.1 or 10% based on the given discrete probability distribution.
Step-by-step explanation:
The random variable x has the following discrete probability distribution:
X 1 3 5 7 9
p(x) .1 .2 .4 .2 .1
To find P(x = 9), we look at the value of x that has a 9 associated with it. In this case, the probability of x = 9 is 0.1 or 10%.