SITUATION 5 (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without a blowout. Suppose that 15 trucks are tested. (a.1) What is the probability that exactly 5 trucks have blowouts? (a.2) What is the probability that fewer than 5 trucks have blowout? (a.3) Determine the average number of blowouts that may be encountered during the said test. (b) A certain area of the Philippines is, on average, hit by 10 typhoons per year. (b.1) Find the probability that for a given year, fewer that 7 typhoons will pass the area. (b.2) Find the probability that for a given year, anywhere between 8 and 11 typhoons will pass the area.

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
Question
SITUATION 5
(a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without a
blowout. Suppose that 15 trucks are tested.
(a.1) What is the probability that exactly 5 trucks have blowouts?
(a.2) What is the probability that fewer than 5 trucks have blowout?
(a.3) Determine the average number of blowouts that may be encountered during the said test.
(b) A certain area of the Philippines is, on average, hit by 10 typhoons per year.
(b.1) Find the probability that for a given year, fewer that 7 typhoons will pass the area.
(b.2) Find the probability that for a given year, anywhere between 8 and 11 typhoons will pass the area.
Transcribed Image Text:SITUATION 5 (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without a blowout. Suppose that 15 trucks are tested. (a.1) What is the probability that exactly 5 trucks have blowouts? (a.2) What is the probability that fewer than 5 trucks have blowout? (a.3) Determine the average number of blowouts that may be encountered during the said test. (b) A certain area of the Philippines is, on average, hit by 10 typhoons per year. (b.1) Find the probability that for a given year, fewer that 7 typhoons will pass the area. (b.2) Find the probability that for a given year, anywhere between 8 and 11 typhoons will pass the area.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE 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