A Toy manufacturer has noticed that the number of faulty Toys detected in a production depends on the supervisor on duty and is detected according to a Poisson Process. There are only 2 supervisors: A and B, in the firm. The average number of faulty Toys is 3 per day when A is on duty, while the average number of faulty Toys is 4 per day when B is on duty. quality of one day's production does not have an effect on the next day. B works 4 out of 5 days, while A works 3 out of 5 days. a) What is the probability that no faulty Toys will be produced tomorrow, if B is on duty? b) What is the probability that no faulty Toys will be produced in the next two days? c) Suppose at least one faulty Toy was produced yesterday, what is the probability that A was on duty?
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 Toy manufacturer has noticed that the number of faulty Toys detected in a production depends on the supervisor on duty and is detected according to a Poisson Process. There are only 2 supervisors: A and B, in the firm. The average number of faulty Toys is 3 per day when A is on duty, while the average number of faulty Toys is 4 per day when B is on duty. quality of one day's production does not have an effect on the next day. B works 4 out of 5 days, while A works 3 out of 5 days.
a) What is the
b) What is the probability that no faulty Toys will be produced in the next two days?
c) Suppose at least one faulty Toy was produced yesterday, what is the probability that A was on duty?
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