Concept explainers
a.
To explain: The reason of X being a binomial random variable
a.
Explanation of Solution
Given:
Number of trials ( n ) = 12
Following requiremens are fulfilled by the random variable X .
- Probability of success, that is, probability that the spinner will land in the blue region ( p ) which is equal to 0.80 is fixed.
- Number of time spinner is spin is fixed.
- Spins are independent of each other.
- There are two outcomes, that is spinner lands in the blue region and it does not land in the blue region
All the binomial conditions are fullfilled here. Thus, it could be said that X follows the binomial distribution
b.
To find: The probability that 8 spins land in the blue region.
b.
Answer to Problem 83E
The probability is 0.1329.
Explanation of Solution
The probability that 8 spins land in the blue region can be calculated as:
Thus, the required probability is 0.1329.
Chapter 6 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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