A remote-controlled undersea vehicle detects debris from a sunken craft at a rate of 40 pieces per hour. Calculate a) the probability that the time to detect the next piece of debris is less than 3 minutes. b) the expected number of detected pieces of debris in a 15-minute interval. c) the probability that 2 pieces of debris are found in a 15-minute interval.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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PROBABILITY THEORY

 

A remote-controlled undersea vehicle detects debris from a sunken craft at a
rate of 40 pieces per hour. Calculate
a) the probability that the time to detect the next piece of debris is less than 3
minutes.
b) the expected number of detected pieces of debris in a 15-minute interval.
c) the probability that 2 pieces of debris are found in a 15-minute interval.
Transcribed Image Text:A remote-controlled undersea vehicle detects debris from a sunken craft at a rate of 40 pieces per hour. Calculate a) the probability that the time to detect the next piece of debris is less than 3 minutes. b) the expected number of detected pieces of debris in a 15-minute interval. c) the probability that 2 pieces of debris are found in a 15-minute interval.
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