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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Baye’s theorem

Grade: 9-a Lesson: S3-L7

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Question	Options
1	Three identical boxes contain red and white balls. The first box contains 3 red and 2 white balls, the second box has 4 red and 5 white balls, and the third box has 2 red and 4 white balls. A box is chosen very randomly and a ball is drawn from it. If the ball that is drawn out is red, what will be the probability that the second box is chosen by using bayes theorem.	A) 10/31 B) 11/31 C) 12/31 D) 13/31
2	Two urns contain respectively 2 red, 3 white, and 3 red, 5 white balls. One ball is drawn at random from the first urn and transferred into the second one. A ball is then drawn from the second urn and it turns out that the ball is red. What will be the probability that the transferred ball was white by using bayes theorem.	A) 11/17 B) 10/17 C) 9/17 D) 12/17
3	In a bolt factory, three machines M₁, M₂, and M₃ manufacture 2000, 2500, and 4000 bolts every day. Of their output 3%, 4%, and 2.5% are defective bolts. One of the bolts is drawn very randomly from a day’s production and is found to be defective. What is the probability that it was produced by machine M₂ by using bayes theorem.	A) 8/13 B) 7/13 C) 6/13 D) 5/13
4	A factory has two machines I and II. Machine I produces 40% of items of the output and Machine II produces 60% of the items. Further 4% of items produced by Machine I are defective and 5% produced by Machine II are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II by using bayes theorem.	A) 13/23 B) 15/23 C) 17/23 D) 18/23
5	A construction company employs 2 executive engineers. Engineer-1 does the work for 60% of jobs of the company. Engineer-2 does the work for 40% of jobs of the company. It is known from the past experience that the probability of an error when engineer-1 does the work is 0.03, whereas the probability of an error in the work of engineer-2 is 0.04. Suppose a serious error occurs in the work then find the probability which engineer would you guess did the work by using bayes theorem.	A) 10/17 B) 9/17 C) 8/17 D) 11/17

Problem Id

Question

Options

Three identical boxes contain red and white balls. The first box contains 3 red and 2 white balls, the second box has 4 red and 5 white balls, and the third box has 2 red and 4 white balls. A box is chosen very randomly and a ball is drawn from it. If the ball that is drawn out is red, what will be the probability that the second box is chosen by using bayes theorem.

A) 10/31
B) 11/31
C) 12/31
D) 13/31

Two urns contain respectively 2 red, 3 white, and 3 red, 5 white balls. One ball is drawn at random from the first urn and transferred into the second one. A ball is then drawn from the second urn and it turns out that the ball is red. What will be the probability that the transferred ball was white by using bayes theorem.

A) 11/17
B) 10/17
C) 9/17
D) 12/17

In a bolt factory, three machines M₁, M₂, and M₃ manufacture 2000, 2500, and 4000 bolts every day. Of their output 3%, 4%, and 2.5% are defective bolts. One of the bolts is drawn very randomly from a day’s production and is found to be defective. What is the probability that it was produced by machine M₂ by using bayes theorem.

A) 8/13
B) 7/13
C) 6/13
D) 5/13

A factory has two machines I and II. Machine I produces 40% of items of the output and Machine II produces 60% of the items. Further 4% of items produced by Machine I are defective and 5% produced by Machine II are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II by using bayes theorem.

A) 13/23
B) 15/23
C) 17/23
D) 18/23

A construction company employs 2 executive engineers. Engineer-1 does the work for 60% of jobs of the company. Engineer-2 does the work for 40% of jobs of the company. It is known from the past experience that the probability of an error when engineer-1 does the work is 0.03, whereas the probability of an error in the work of engineer-2 is 0.04. Suppose a serious error occurs in the work then find the probability which engineer would you guess did the work by using bayes theorem.

A) 10/17
B) 9/17
C) 8/17
D) 11/17