Concept explainers
a.
To explain: The random variable X being binomial random variable.
a.
Explanation of Solution
Given:
Probability of success ( p ) = 20% = 0.20.
Number of trials ( n ) = 8
The random variable X being binomial random variable:
- There are two successes and failures, that is, candy is orange and candy is not orange
- Candies are independent of each other.
- Number of candies are fixed.
- Probability of getting orange candy is fixed.
Since, all the required condition for a binomial distribution are fixed. Thus, the variable X is a binomial random variable.
b.
To find: The mean and interpret it.
b.
Answer to Problem 5CRE
The mean is 1.60.
Explanation of Solution
Calculation:
The mean can be calculated as:
The above computed mean shows that the expected number of candies is 1.
c.
To find: The standard deviation and interpret it.
c.
Answer to Problem 5CRE
The standard deviation is 1.1314.
Explanation of Solution
Calculation:
The standard deviation can be calculated as:
The above computed mean shows that the number of the candies will differ by 1.1314 by the average of 1.60 candies.
Chapter 6 Solutions
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