Concept explainers
(a)
To find: The
(a)
Answer to Problem 18E
0.032
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The probability of the 1st bull's eye researcher coming to the 3rd arrow is,
Thus, there is 3.2% possibility that the 1st bull's eye researcher coming to the 3rd arrow.
(b)
To find: On the 4th or 5th arrow, the probability that the researcher misses the bull 's eye.
(b)
Answer to Problem 18E
0.7379
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The probability that the researcher misses the bull 's eye is,
Therefore, there is 73.79% possibility that the researcher misses the bull 's eye.
(c)
To find: The probability that the first bull 's eye of a researcher would appear on the 4th or 5th arrow.
(c)
Answer to Problem 18E
0.0077
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The probability that the first bull 's eye of a researcher would appear on the 4th or 5th arrow.
Thus, there is 0.77% possibility that the first bull 's eye of a researcher would appear on the 4th or 5th arrow.
(d)
To find: the probability that researcher obtained exactly four bull’s eyes.
(d)
Answer to Problem 18E
0.2458
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The Probability that researcher obtained exactly four bull’s eyes is,
Therefore, there is 24.58% possibility that researcher obtained exactly four bull’s eyes.
(e)
To find: the probability that researcher obtained minimum four bull’s eyes
(e)
Answer to Problem 18E
0.9011
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The probability that researcher obtained minimum four bull’s eyes
Therefore, there is 90.11% chance that she gets at least 4 bull’s eyes.
(f)
To find: the probability that researcher obtained at most four bull’s eyes
(f)
Answer to Problem 18E
0.3447
Explanation of Solution
Given:
An Olympic archer is 80 percent of the time able to hit the bull 's eye. The number of shots she fires is 6. Each shot is independent. The trials, therefore, are the Bernoulli trials.
Calculation:
The Probability that she gets researcher obtained at most four bull’s eyes is
Thus, there 34.47% possibility that researcher obtained at most four bull’s eyes.
Chapter 17 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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