Question

consider the variable joe’s weight next friday. what is the probability he weighs 170 pounds, the same weight he told you for last friday?
probability =

Explanation:

Step1: Identify the type of variable

Joe's weight is a continuous random variable (since weight can take any value within a range, not just discrete values). For a continuous random variable, the probability of it taking any specific single value is 0. This is because the total area under the probability density function (pdf) for a continuous variable is 1, and the area corresponding to a single point (a specific weight like 170 pounds) is a line segment, which has an area (and thus probability) of 0.

Step2: Conclude the probability

Based on the property of continuous random variables, the probability that a continuous random variable equals a specific value is 0. So the probability Joe weighs exactly 170 pounds next Friday is 0.

Answer:

0