Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 148 subjects with positive test results, there are 21 false positive results. Among 155 negative results, there are 3 false negative results. Complete parts (a) through (c). a. How many subjects were included in the study? The total number of subjects in the study was . b. How many subjects did not use marijuana? A total of subjects did not use marijuana. c. What is the probability that a randomly selected subject did not use marijuana? The probability that a randomly selected subject did not use marijuana is . (Do not round until the final answer. Then round to three decimal places as needed.)
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.
Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 148
subjects with positive test results, there are 21 false positive results. Among 155 negative results, there are 3 false negative
results. Complete parts (a) through (c).
a. How many subjects were included in the study?
The total number of subjects in the study was .
b. How many subjects did not use marijuana?
A total of subjects did not use marijuana.
c. What is the probability that a randomly selected subject did not use marijuana?
The probability that a randomly selected subject did not use marijuana is .
(Do not round until the final answer. Then round to three decimal places as needed.)
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