For the question below on how to make the (ii) Tree diagram and (iii) Venn diagram, could you please help how to get the R coddings for generating those type of diagrams. i. Companies A and B produce 10% and 90% respectively of surgical instruments used in a hospital. From experience, it is known that the probability that Company A produces a defective instrument is 0.01 while the probability that Company B produces a defective instrument is 0.05. If an instrument is selected at random from a delivery and is found to be defective, use Bayes’ rule to find the probability that it was made by Company B. ii. Draw the Tree Diagram for the above problem. iii. Suppose an experiment has outcomes black, white, red, orange, yellow, green, blue, and purple, where each outcome has an equal chance of occurring. Let event C= {green, blue, purple} and event P= {red, yellow, blue}. Draw a Venn diagram representing this situation.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
For the question below on how to make the (ii) Tree diagram and (iii) Venn diagram, could you please help how to get the R coddings for generating those type of diagrams.
i. Companies A and B produce 10% and 90% respectively of surgical instruments used in a hospital. From experience, it is known that the probability that Company A produces a defective instrument is 0.01 while the probability that Company B produces a defective instrument is 0.05. If an instrument is selected at random from a delivery and is found to be defective, use Bayes’ rule to find the probability that it was made by Company B.
ii. Draw the Tree Diagram for the above problem.
iii. Suppose an experiment has outcomes black, white, red, orange, yellow, green, blue, and purple, where each outcome has an equal chance of occurring. Let
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