Answer to Question #233687 in Statistics and Probability for Stacey

Question

The probability of randomly selecting a student with a height of exactly 154 cm.

Answer 1

The heights of 1000 students are approximately normally distributed with a mean of 154.5cm and a standard deviation of 3.0cm.

The probability of randomly selecting a student with a height of exactly 154 cm.

Because there is an uncountable infinite number of a value of X, therefore the probability of each individual value is zero.

P(X=154) =0