c. at least 1 but no more than 5 will malfunction. d. What is the expected number of sensors that will malfunction? e. What is the standard deviation of the number of sensors that will malfunction?

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

answer letters c, d, and e only.

4.21 The probability of an electronic sensor malfunctioning is known to be 0.10. A
random sample of 12 sensors is chosen. Find the probability that:
a. at least 3 will malfunction.
b. no more than 5 will malfunction.
c. at least 1 but no more than 5 will malfunction.
d. What is the expected number of sensors that will malfunction?
e. What is the standard deviation of the number of sensors that will malfunction?
Transcribed Image Text:4.21 The probability of an electronic sensor malfunctioning is known to be 0.10. A random sample of 12 sensors is chosen. Find the probability that: a. at least 3 will malfunction. b. no more than 5 will malfunction. c. at least 1 but no more than 5 will malfunction. d. What is the expected number of sensors that will malfunction? e. What is the standard deviation of the number of sensors that will malfunction?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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