Concept explainers
The experimental and theoretical probabilities of the experiment
Answer to Problem 11PPS
Explanation of Solution
Given information:
Conduct a binomial experiment to determine the probability of pulling a red marble from a bag. Then compare the experimental and theoretical probabilities of the experiment.
Calculation:
In general, the probability of event
Consider the probability of choosing a red marble from a set of
There are
The theoretical probability of choosing a red marble from a set of
Hence, the theoretical probability of choosing a red marble from a set of
Consider the attributes of a binomial experiment.
A trial is choosing a red marble from a set of
The success is choosing a red marble.
The probability of success is
The random variable
Use a random number generator from
The results of the experiment are as show below as per the random generator.|
Since
Hence, the experimental probability of choosing a red marble from a set of marbles is
When compared, it is clear that the experimental probability is greater than the theoretical probability.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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