5.6 The jurisdiction of a rescue team includes emergencies occurring on a stretch of river that is...
Question:
5.6 The jurisdiction of a rescue team includes emergencies occurring on a stretch of river that is 4 miles long. Experience has shown that the distance along this stretch, measured in miles from its northernmost point, at which an emergency occurs can be represented by a uniformly distributed random variable over the range 0 to 4 miles. Then, if X denotes the distance (in miles)
of an emergency from the northernmost point of this stretch of river, its probability density function is as follows:
a. Graph the probability density function.
b. Find and graph the cumulative distribution function.
c. Find the probability that a given emergency arises within 1 mile of the northernmost point of this stretch of river.
d. The rescue team’s base is at the midpoint of this stretch of river. Find the probability that a given emergency arises more than 1.5 miles from this base.
Step by Step Answer:
Statistics For Business And Economics
ISBN: 9780273767060
8th Global Edition
Authors: Paul Newbold, Mr William Carlson, Ms Betty Thorne