To map the current of bottom water in a certain part of the Atlantic Ocean, a dye is released and used to trace the water flow. Let the random variable X be the maximum distance (in meters) from release at which the dye is detected after one day. Is X discrete or continuous? Justify your answer.
An experiment consists of recording the behavior of a randomly selected Duluth cab driver as a traffic signal changes from red to green. Let the random variable X be the acceleration (in ft/s2 ) of the cab one second after the light changes. Is X discrete or continuous? Justify your answer.
A report in the journal Cancer suggests that women who take aspirin on a regular basis lower their risk of a certain kind of melanoma.2 Every woman who visits the Turtle Creek Medical Center in Dallas, Texas, during the next business day will be asked whether she regularly takes an aspirin. Let X be the number of women who take an aspirin daily. Is X discrete or continuous? Justify your answer.
The Boston Red Sox play their spring training games in JetBlue Park, Fort Myers, Florida. Suppose a game against the Tampa Bay Rays is selected. Classify each of the following random variables as discrete or continuous.
a. The price of a randomly selected ticket.
b. The time it takes to complete the game.
c. Whether the game is postponed due to rain or is completed.
d. The speed of the first pitch in the bottom of the third inning.
e. The number of fans in attendance.
f. The number of hot dogs sold during the entire game.
g. The total number of errors in the game.
h. The weight in ounces of the bat used by the third hitter in the fifth inning.