The phone lines to a tourism department reservation system are occupied 30% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are placed to the tourism department.  a) What is the probability that for exactly 2 calls the lines are occupied? b) What is the probability that for at least one call the lines are not occupied? c) What is the expected number of calls in which the lines are all occupied?

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...
icon
Related questions
Topic Video
Question
100%

The phone lines to a tourism department reservation system are occupied 30% of the time.
Assume that the events that the lines are occupied on successive calls are independent.
Assume that 10 calls are placed to the tourism department. 
a) What is the probability that for exactly 2 calls the lines are occupied?
b) What is the probability that for at least one call the lines are not occupied?
c) What is the expected number of calls in which the lines are all occupied?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON