Concept explainers
(a)
To find: the mean and standard deviation.
(a)
Answer to Problem 22E
Explanation of Solution
Given:
Formula used:
Calculation:
X is the number of times researcher shoots the arrows.
X is following the binomial distribution
The standard deviation is
(b)
To find: the probability that (i) never misses, (ii) not greater than 8 bull’s eyes, (iii) exactly 8 bull’s eyes, (iv) greater than researcher misses.
(b)
Answer to Problem 22E
- 0.11
- 0.6242
- 0.3020
- 0.9672
Explanation of Solution
Given:
Formula used:
Calculation:
(i)
Required probability
Therefore, there is a 11% possibility that researcher never misses.
(ii)
Required probability
There is a 62% possibility that there are not greater than 8 bull’s-eyes.
(iii)
Required probability
There is a 30% possibility that there are exactly 8 bull’s eyes.
(iv)
The probability that she hits bull’s eyes more often then she misses is,
There is a 97% possibility that researcher hits the bull’s eyes greater than often researcher misses.
Chapter 17 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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