Final answer:
The question asks for the probability distribution of variable y, but the specific distribution is not provided. It is mentioned that the distribution is normal with a mean of 159 and a standard deviation of approximately 8.6447.
Step-by-step explanation:
The question is asking for the probability distribution of variable y, which is represented by pr(y). The student is not providing the exact values for the distribution parameters, so we cannot determine the specific probability distribution. However, the distribution is indicated to be normal with a mean of 159 and a standard deviation of approximately 8.6447. In order to provide a more accurate answer, we would need the full values for the distribution parameters.