An Italian restaurant advertises that carryout orders take about 20 minutes.
1. An Italian restaurant advertises that carryout orders take about 20 minutes. Assume that the time it takes for
an order to be ready follows the exponential distribution with a mean of 20. What is the probability that an order will be ready within 22 minutes? Answer to three decimal places if needed. CAUTION: with the exponential distribution the parameter in the formula can be the number of events that happen in a given time period or distance or it can represent the average time or distance until the next event occurs. In this example it is a time until the next event.
2. Suppose you have a random variable that is uniformly distributed between 0 and 2. What is the probability of observing a random draw greater than or equal to 0.26? Answer to three decimal place if necessary.
3. Suppose you have a random variable that is uniformly distributed between 44 and 71. What is the variance for this random variable? Answer to one decimal place if necessary.