A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack. i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s. ii. What is the probability that the order will be accepted? iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
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.
A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack.
i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s.
ii. What is the
iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
Step by step
Solved in 3 steps
