The median of a random variable X is the real number m such that P(X ≤ m) = 1/2. This term is used in Exercises 52 through 55.

Find the median length of a telephone call in Example 6.4.4.

Data from Example 6.4.4.

Let X be a random variable that measures the duration of cell phone calls in a certain city and assume that X has an exponential distribution with density function

where t denotes the duration (in minutes) of a randomly selected call.

Transcribed Image Text:

f(t) [0.5e-0.5t 0 ift ≥ 0 ift < 0