The diameter of an electric cable is normally distributed with average 0.8 and variance 0.0004. A cable is considered defective if the diameter differs from its average by more than 0.025a. What is the probability of obtaining a defective cable?b. If 10,000 cables are tested, what is the expected number of defective cables?c. If 4 of these cables are tested, what is the probability that there is at least one defective cable?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The diameter of an electric cable is
a. What is the
b. If 10,000 cables are tested, what is the expected number of defective cables?
c. If 4 of these cables are tested, what is the probability that there is at least one defective cable?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images